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Finding the Fourth Proportional to 429.31, 592.45 and 232.82

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Solution

The fourth proportional to 429.31, 592.45 and 232.82 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.31 : 592.45 = 232.82 : x
  2. Step 2: Convert to fraction form
    429.31/592.45 = 232.82/x
  3. Step 3: Cross multiply
    429.31x = 592.45 × 232.82
  4. Step 4: Simplify right side
    429.31x = 137,935.11
  5. Step 5: Solve for x
    x = 137,935.11/429.31
  6. Step 6: Final answer
    x = 321.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.