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Finding the Fourth Proportional to 429.68, 592.82 and 252.59

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Solution

The fourth proportional to 429.68, 592.82 and 252.59 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 592.82 = 252.59 : x
  2. Step 2: Convert to fraction form
    429.68/592.82 = 252.59/x
  3. Step 3: Cross multiply
    429.68x = 592.82 × 252.59
  4. Step 4: Simplify right side
    429.68x = 149,738.31
  5. Step 5: Solve for x
    x = 149,738.31/429.68
  6. Step 6: Final answer
    x = 348.49

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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.