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Finding the Fourth Proportional to 429.84, 644.75 and 121.71

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Solution

The fourth proportional to 429.84, 644.75 and 121.71 is: 182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 644.75 = 121.71 : x
  2. Step 2: Convert to fraction form
    429.84/644.75 = 121.71/x
  3. Step 3: Cross multiply
    429.84x = 644.75 × 121.71
  4. Step 4: Simplify right side
    429.84x = 78,472.52
  5. Step 5: Solve for x
    x = 78,472.52/429.84
  6. Step 6: Final answer
    x = 182.56

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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.