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Finding the Fourth Proportional to 642.29, 886.46 and 380.31

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Solution

The fourth proportional to 642.29, 886.46 and 380.31 is: 524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.29 : 886.46 = 380.31 : x
  2. Step 2: Convert to fraction form
    642.29/886.46 = 380.31/x
  3. Step 3: Cross multiply
    642.29x = 886.46 × 380.31
  4. Step 4: Simplify right side
    642.29x = 337,127.70
  5. Step 5: Solve for x
    x = 337,127.70/642.29
  6. Step 6: Final answer
    x = 524.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.