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Finding the Fourth Proportional to 494.20, 740.88 and 426.52

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Solution

The fourth proportional to 494.20, 740.88 and 426.52 is: 639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 740.88 = 426.52 : x
  2. Step 2: Convert to fraction form
    494.20/740.88 = 426.52/x
  3. Step 3: Cross multiply
    494.20x = 740.88 × 426.52
  4. Step 4: Simplify right side
    494.20x = 316,000.14
  5. Step 5: Solve for x
    x = 316,000.14/494.20
  6. Step 6: Final answer
    x = 639.42

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