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Finding the Fourth Proportional to 494.76, 682.02 and 428.52

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Solution

The fourth proportional to 494.76, 682.02 and 428.52 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 682.02 = 428.52 : x
  2. Step 2: Convert to fraction form
    494.76/682.02 = 428.52/x
  3. Step 3: Cross multiply
    494.76x = 682.02 × 428.52
  4. Step 4: Simplify right side
    494.76x = 292,259.21
  5. Step 5: Solve for x
    x = 292,259.21/494.76
  6. Step 6: Final answer
    x = 590.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.