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Finding the Fourth Proportional to 649.52, 972.85 and 467.27

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Solution

The fourth proportional to 649.52, 972.85 and 467.27 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 972.85 = 467.27 : x
  2. Step 2: Convert to fraction form
    649.52/972.85 = 467.27/x
  3. Step 3: Cross multiply
    649.52x = 972.85 × 467.27
  4. Step 4: Simplify right side
    649.52x = 454,583.62
  5. Step 5: Solve for x
    x = 454,583.62/649.52
  6. Step 6: Final answer
    x = 699.88

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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.