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Finding the Fourth Proportional to 649.62, 974.90 and 284.45

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Solution

The fourth proportional to 649.62, 974.90 and 284.45 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.62 : 974.90 = 284.45 : x
  2. Step 2: Convert to fraction form
    649.62/974.90 = 284.45/x
  3. Step 3: Cross multiply
    649.62x = 974.90 × 284.45
  4. Step 4: Simplify right side
    649.62x = 277,306.14
  5. Step 5: Solve for x
    x = 277,306.14/649.62
  6. Step 6: Final answer
    x = 426.87

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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.