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Finding the Fourth Proportional to 932.17, 1,398.24 and 229.38

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Solution

The fourth proportional to 932.17, 1,398.24 and 229.38 is: 344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.17 : 1,398.24 = 229.38 : x
  2. Step 2: Convert to fraction form
    932.17/1,398.24 = 229.38/x
  3. Step 3: Cross multiply
    932.17x = 1,398.24 × 229.38
  4. Step 4: Simplify right side
    932.17x = 320,728.29
  5. Step 5: Solve for x
    x = 320,728.29/932.17
  6. Step 6: Final answer
    x = 344.07

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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.