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Finding the Fourth Proportional to 429.32, 644.24 and 185.85

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Solution

The fourth proportional to 429.32, 644.24 and 185.85 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 644.24 = 185.85 : x
  2. Step 2: Convert to fraction form
    429.32/644.24 = 185.85/x
  3. Step 3: Cross multiply
    429.32x = 644.24 × 185.85
  4. Step 4: Simplify right side
    429.32x = 119,732.47
  5. Step 5: Solve for x
    x = 119,732.47/429.32
  6. Step 6: Final answer
    x = 278.89

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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.