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Finding the Fourth Proportional to 625.34, 862.80 and 392.42

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Solution

The fourth proportional to 625.34, 862.80 and 392.42 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.34 : 862.80 = 392.42 : x
  2. Step 2: Convert to fraction form
    625.34/862.80 = 392.42/x
  3. Step 3: Cross multiply
    625.34x = 862.80 × 392.42
  4. Step 4: Simplify right side
    625.34x = 338,579.98
  5. Step 5: Solve for x
    x = 338,579.98/625.34
  6. Step 6: Final answer
    x = 541.43

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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.