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Finding the Fourth Proportional to 642.40, 885.75 and 516.26

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Solution

The fourth proportional to 642.40, 885.75 and 516.26 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.40 : 885.75 = 516.26 : x
  2. Step 2: Convert to fraction form
    642.40/885.75 = 516.26/x
  3. Step 3: Cross multiply
    642.40x = 885.75 × 516.26
  4. Step 4: Simplify right side
    642.40x = 457,277.30
  5. Step 5: Solve for x
    x = 457,277.30/642.40
  6. Step 6: Final answer
    x = 711.83

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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.