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Finding the Fourth Proportional to 429.31, 592.23 and 271.68

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Solution

The fourth proportional to 429.31, 592.23 and 271.68 is: 374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.31 : 592.23 = 271.68 : x
  2. Step 2: Convert to fraction form
    429.31/592.23 = 271.68/x
  3. Step 3: Cross multiply
    429.31x = 592.23 × 271.68
  4. Step 4: Simplify right side
    429.31x = 160,894.32
  5. Step 5: Solve for x
    x = 160,894.32/429.31
  6. Step 6: Final answer
    x = 374.77

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