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Finding the Fourth Proportional to 625.36, 861.98 and 500.80

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Solution

The fourth proportional to 625.36, 861.98 and 500.80 is: 690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.36 : 861.98 = 500.80 : x
  2. Step 2: Convert to fraction form
    625.36/861.98 = 500.80/x
  3. Step 3: Cross multiply
    625.36x = 861.98 × 500.80
  4. Step 4: Simplify right side
    625.36x = 431,679.58
  5. Step 5: Solve for x
    x = 431,679.58/625.36
  6. Step 6: Final answer
    x = 690.29

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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.