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Finding the Fourth Proportional to 517.72, 777.18 and 416.26

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Solution

The fourth proportional to 517.72, 777.18 and 416.26 is: 624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 777.18 = 416.26 : x
  2. Step 2: Convert to fraction form
    517.72/777.18 = 416.26/x
  3. Step 3: Cross multiply
    517.72x = 777.18 × 416.26
  4. Step 4: Simplify right side
    517.72x = 323,508.95
  5. Step 5: Solve for x
    x = 323,508.95/517.72
  6. Step 6: Final answer
    x = 624.87

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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.