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Finding the Fourth Proportional to 649.38, 974.16 and 284.16

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Solution

The fourth proportional to 649.38, 974.16 and 284.16 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 974.16 = 284.16 : x
  2. Step 2: Convert to fraction form
    649.38/974.16 = 284.16/x
  3. Step 3: Cross multiply
    649.38x = 974.16 × 284.16
  4. Step 4: Simplify right side
    649.38x = 276,817.31
  5. Step 5: Solve for x
    x = 276,817.31/649.38
  6. Step 6: Final answer
    x = 426.28

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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.