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Finding the Fourth Proportional to 932.68, 1,398.99 and 384.85

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Solution

The fourth proportional to 932.68, 1,398.99 and 384.85 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.68 : 1,398.99 = 384.85 : x
  2. Step 2: Convert to fraction form
    932.68/1,398.99 = 384.85/x
  3. Step 3: Cross multiply
    932.68x = 1,398.99 × 384.85
  4. Step 4: Simplify right side
    932.68x = 538,401.30
  5. Step 5: Solve for x
    x = 538,401.30/932.68
  6. Step 6: Final answer
    x = 577.26

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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.