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Finding the Fourth Proportional to 932.33, 1,398.47 and 377.29

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Solution

The fourth proportional to 932.33, 1,398.47 and 377.29 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.33 : 1,398.47 = 377.29 : x
  2. Step 2: Convert to fraction form
    932.33/1,398.47 = 377.29/x
  3. Step 3: Cross multiply
    932.33x = 1,398.47 × 377.29
  4. Step 4: Simplify right side
    932.33x = 527,626.19
  5. Step 5: Solve for x
    x = 527,626.19/932.33
  6. Step 6: Final answer
    x = 565.93

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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.