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Finding the Fourth Proportional to 499.71, 748.53 and 293.97

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Solution

The fourth proportional to 499.71, 748.53 and 293.97 is: 440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.71 : 748.53 = 293.97 : x
  2. Step 2: Convert to fraction form
    499.71/748.53 = 293.97/x
  3. Step 3: Cross multiply
    499.71x = 748.53 × 293.97
  4. Step 4: Simplify right side
    499.71x = 220,045.36
  5. Step 5: Solve for x
    x = 220,045.36/499.71
  6. Step 6: Final answer
    x = 440.35

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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.