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Finding the Fourth Proportional to 499.29, 748.52 and 279.74

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Solution

The fourth proportional to 499.29, 748.52 and 279.74 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.29 : 748.52 = 279.74 : x
  2. Step 2: Convert to fraction form
    499.29/748.52 = 279.74/x
  3. Step 3: Cross multiply
    499.29x = 748.52 × 279.74
  4. Step 4: Simplify right side
    499.29x = 209,390.67
  5. Step 5: Solve for x
    x = 209,390.67/499.29
  6. Step 6: Final answer
    x = 419.37

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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.