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Finding the Fourth Proportional to 662.24, 992.76 and 499.52

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Solution

The fourth proportional to 662.24, 992.76 and 499.52 is: 748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 992.76 = 499.52 : x
  2. Step 2: Convert to fraction form
    662.24/992.76 = 499.52/x
  3. Step 3: Cross multiply
    662.24x = 992.76 × 499.52
  4. Step 4: Simplify right side
    662.24x = 495,903.48
  5. Step 5: Solve for x
    x = 495,903.48/662.24
  6. Step 6: Final answer
    x = 748.83

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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.