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Finding the Fourth Proportional to 642.57, 886.50 and 477.18

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Solution

The fourth proportional to 642.57, 886.50 and 477.18 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.57 : 886.50 = 477.18 : x
  2. Step 2: Convert to fraction form
    642.57/886.50 = 477.18/x
  3. Step 3: Cross multiply
    642.57x = 886.50 × 477.18
  4. Step 4: Simplify right side
    642.57x = 423,020.07
  5. Step 5: Solve for x
    x = 423,020.07/642.57
  6. Step 6: Final answer
    x = 658.33

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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.