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Finding the Fourth Proportional to 932.90, 1,398.32 and 384.78

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Solution

The fourth proportional to 932.90, 1,398.32 and 384.78 is: 576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.90 : 1,398.32 = 384.78 : x
  2. Step 2: Convert to fraction form
    932.90/1,398.32 = 384.78/x
  3. Step 3: Cross multiply
    932.90x = 1,398.32 × 384.78
  4. Step 4: Simplify right side
    932.90x = 538,044.61
  5. Step 5: Solve for x
    x = 538,044.61/932.90
  6. Step 6: Final answer
    x = 576.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.