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Finding the Fourth Proportional to 625.64, 938.46 and 498.28

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Solution

The fourth proportional to 625.64, 938.46 and 498.28 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.64 : 938.46 = 498.28 : x
  2. Step 2: Convert to fraction form
    625.64/938.46 = 498.28/x
  3. Step 3: Cross multiply
    625.64x = 938.46 × 498.28
  4. Step 4: Simplify right side
    625.64x = 467,615.85
  5. Step 5: Solve for x
    x = 467,615.85/625.64
  6. Step 6: Final answer
    x = 747.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.