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Finding the Fourth Proportional to 649.92, 974.86 and 284.60

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Solution

The fourth proportional to 649.92, 974.86 and 284.60 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 974.86 = 284.60 : x
  2. Step 2: Convert to fraction form
    649.92/974.86 = 284.60/x
  3. Step 3: Cross multiply
    649.92x = 974.86 × 284.60
  4. Step 4: Simplify right side
    649.92x = 277,445.16
  5. Step 5: Solve for x
    x = 277,445.16/649.92
  6. Step 6: Final answer
    x = 426.89

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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.