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Finding the Fourth Proportional to 822.25, 1,233.41 and 274.44

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Solution

The fourth proportional to 822.25, 1,233.41 and 274.44 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,233.41 = 274.44 : x
  2. Step 2: Convert to fraction form
    822.25/1,233.41 = 274.44/x
  3. Step 3: Cross multiply
    822.25x = 1,233.41 × 274.44
  4. Step 4: Simplify right side
    822.25x = 338,489.50
  5. Step 5: Solve for x
    x = 338,489.50/822.25
  6. Step 6: Final answer
    x = 411.66

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.