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Finding the Fourth Proportional to 499.44, 748.38 and 377.61

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Solution

The fourth proportional to 499.44, 748.38 and 377.61 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 748.38 = 377.61 : x
  2. Step 2: Convert to fraction form
    499.44/748.38 = 377.61/x
  3. Step 3: Cross multiply
    499.44x = 748.38 × 377.61
  4. Step 4: Simplify right side
    499.44x = 282,595.77
  5. Step 5: Solve for x
    x = 282,595.77/499.44
  6. Step 6: Final answer
    x = 565.83

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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.