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Finding the Fourth Proportional to 649.45, 974.18 and 216.64

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Solution

The fourth proportional to 649.45, 974.18 and 216.64 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 974.18 = 216.64 : x
  2. Step 2: Convert to fraction form
    649.45/974.18 = 216.64/x
  3. Step 3: Cross multiply
    649.45x = 974.18 × 216.64
  4. Step 4: Simplify right side
    649.45x = 211,046.36
  5. Step 5: Solve for x
    x = 211,046.36/649.45
  6. Step 6: Final answer
    x = 324.96

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.