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Finding the Fourth Proportional to 621.90, 932.96 and 256.49

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Solution

The fourth proportional to 621.90, 932.96 and 256.49 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.90 : 932.96 = 256.49 : x
  2. Step 2: Convert to fraction form
    621.90/932.96 = 256.49/x
  3. Step 3: Cross multiply
    621.90x = 932.96 × 256.49
  4. Step 4: Simplify right side
    621.90x = 239,294.91
  5. Step 5: Solve for x
    x = 239,294.91/621.90
  6. Step 6: Final answer
    x = 384.78

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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.