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Finding the Fourth Proportional to 499.50, 748.17 and 377.82

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Solution

The fourth proportional to 499.50, 748.17 and 377.82 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 748.17 = 377.82 : x
  2. Step 2: Convert to fraction form
    499.50/748.17 = 377.82/x
  3. Step 3: Cross multiply
    499.50x = 748.17 × 377.82
  4. Step 4: Simplify right side
    499.50x = 282,673.59
  5. Step 5: Solve for x
    x = 282,673.59/499.50
  6. Step 6: Final answer
    x = 565.91

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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.