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Finding the Fourth Proportional to 429.50, 592.67 and 252.56

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Solution

The fourth proportional to 429.50, 592.67 and 252.56 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.50 : 592.67 = 252.56 : x
  2. Step 2: Convert to fraction form
    429.50/592.67 = 252.56/x
  3. Step 3: Cross multiply
    429.50x = 592.67 × 252.56
  4. Step 4: Simplify right side
    429.50x = 149,686.85
  5. Step 5: Solve for x
    x = 149,686.85/429.50
  6. Step 6: Final answer
    x = 348.51

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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.