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Finding the Fourth Proportional to 429.71, 644.52 and 141.14

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Solution

The fourth proportional to 429.71, 644.52 and 141.14 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.71 : 644.52 = 141.14 : x
  2. Step 2: Convert to fraction form
    429.71/644.52 = 141.14/x
  3. Step 3: Cross multiply
    429.71x = 644.52 × 141.14
  4. Step 4: Simplify right side
    429.71x = 90,967.55
  5. Step 5: Solve for x
    x = 90,967.55/429.71
  6. Step 6: Final answer
    x = 211.70

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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.