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Finding the Fourth Proportional to 517.24, 772.07 and 449.24

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Solution

The fourth proportional to 517.24, 772.07 and 449.24 is: 670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 772.07 = 449.24 : x
  2. Step 2: Convert to fraction form
    517.24/772.07 = 449.24/x
  3. Step 3: Cross multiply
    517.24x = 772.07 × 449.24
  4. Step 4: Simplify right side
    517.24x = 346,844.73
  5. Step 5: Solve for x
    x = 346,844.73/517.24
  6. Step 6: Final answer
    x = 670.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.