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Finding the Fourth Proportional to 517.68, 779.04 and 466.56

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Solution

The fourth proportional to 517.68, 779.04 and 466.56 is: 702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 779.04 = 466.56 : x
  2. Step 2: Convert to fraction form
    517.68/779.04 = 466.56/x
  3. Step 3: Cross multiply
    517.68x = 779.04 × 466.56
  4. Step 4: Simplify right side
    517.68x = 363,468.90
  5. Step 5: Solve for x
    x = 363,468.90/517.68
  6. Step 6: Final answer
    x = 702.11

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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.