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Finding the Fourth Proportional to 578.25, 867.83 and 253.84

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Solution

The fourth proportional to 578.25, 867.83 and 253.84 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 867.83 = 253.84 : x
  2. Step 2: Convert to fraction form
    578.25/867.83 = 253.84/x
  3. Step 3: Cross multiply
    578.25x = 867.83 × 253.84
  4. Step 4: Simplify right side
    578.25x = 220,289.97
  5. Step 5: Solve for x
    x = 220,289.97/578.25
  6. Step 6: Final answer
    x = 380.96

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.