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Finding the Fourth Proportional to 625.93, 862.82 and 492.90

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Solution

The fourth proportional to 625.93, 862.82 and 492.90 is: 679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.93 : 862.82 = 492.90 : x
  2. Step 2: Convert to fraction form
    625.93/862.82 = 492.90/x
  3. Step 3: Cross multiply
    625.93x = 862.82 × 492.90
  4. Step 4: Simplify right side
    625.93x = 425,287.37
  5. Step 5: Solve for x
    x = 425,287.37/625.93
  6. Step 6: Final answer
    x = 679.45

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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.