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Finding the Fourth Proportional to 429.50, 644.71 and 308.31

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Solution

The fourth proportional to 429.50, 644.71 and 308.31 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.50 : 644.71 = 308.31 : x
  2. Step 2: Convert to fraction form
    429.50/644.71 = 308.31/x
  3. Step 3: Cross multiply
    429.50x = 644.71 × 308.31
  4. Step 4: Simplify right side
    429.50x = 198,767.93
  5. Step 5: Solve for x
    x = 198,767.93/429.50
  6. Step 6: Final answer
    x = 462.79

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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.