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Finding the Fourth Proportional to 625.24, 862.68 and 345.43

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Solution

The fourth proportional to 625.24, 862.68 and 345.43 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 862.68 = 345.43 : x
  2. Step 2: Convert to fraction form
    625.24/862.68 = 345.43/x
  3. Step 3: Cross multiply
    625.24x = 862.68 × 345.43
  4. Step 4: Simplify right side
    625.24x = 297,995.55
  5. Step 5: Solve for x
    x = 297,995.55/625.24
  6. Step 6: Final answer
    x = 476.61

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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.