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Finding the Fourth Proportional to 517.88, 772.33 and 460.04

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Solution

The fourth proportional to 517.88, 772.33 and 460.04 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 772.33 = 460.04 : x
  2. Step 2: Convert to fraction form
    517.88/772.33 = 460.04/x
  3. Step 3: Cross multiply
    517.88x = 772.33 × 460.04
  4. Step 4: Simplify right side
    517.88x = 355,302.69
  5. Step 5: Solve for x
    x = 355,302.69/517.88
  6. Step 6: Final answer
    x = 686.07

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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.