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Finding the Fourth Proportional to 622.17, 932.31 and 256.86

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Solution

The fourth proportional to 622.17, 932.31 and 256.86 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.17 : 932.31 = 256.86 : x
  2. Step 2: Convert to fraction form
    622.17/932.31 = 256.86/x
  3. Step 3: Cross multiply
    622.17x = 932.31 × 256.86
  4. Step 4: Simplify right side
    622.17x = 239,473.15
  5. Step 5: Solve for x
    x = 239,473.15/622.17
  6. Step 6: Final answer
    x = 384.90

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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.