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Finding the Fourth Proportional to 429.52, 644.23 and 121.39

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Solution

The fourth proportional to 429.52, 644.23 and 121.39 is: 182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.52 : 644.23 = 121.39 : x
  2. Step 2: Convert to fraction form
    429.52/644.23 = 121.39/x
  3. Step 3: Cross multiply
    429.52x = 644.23 × 121.39
  4. Step 4: Simplify right side
    429.52x = 78,201.17
  5. Step 5: Solve for x
    x = 78,201.17/429.52
  6. Step 6: Final answer
    x = 182.07

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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.