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Finding the Fourth Proportional to 515.29, 772.42 and 332.81

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Solution

The fourth proportional to 515.29, 772.42 and 332.81 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.29 : 772.42 = 332.81 : x
  2. Step 2: Convert to fraction form
    515.29/772.42 = 332.81/x
  3. Step 3: Cross multiply
    515.29x = 772.42 × 332.81
  4. Step 4: Simplify right side
    515.29x = 257,067.44
  5. Step 5: Solve for x
    x = 257,067.44/515.29
  6. Step 6: Final answer
    x = 498.88

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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.