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Finding the Fourth Proportional to 429.42, 644.01 and 140.82

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Solution

The fourth proportional to 429.42, 644.01 and 140.82 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 644.01 = 140.82 : x
  2. Step 2: Convert to fraction form
    429.42/644.01 = 140.82/x
  3. Step 3: Cross multiply
    429.42x = 644.01 × 140.82
  4. Step 4: Simplify right side
    429.42x = 90,689.49
  5. Step 5: Solve for x
    x = 90,689.49/429.42
  6. Step 6: Final answer
    x = 211.19

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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.