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Finding the Fourth Proportional to 580.71, 871.65 and 515.25

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Solution

The fourth proportional to 580.71, 871.65 and 515.25 is: 773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 871.65 = 515.25 : x
  2. Step 2: Convert to fraction form
    580.71/871.65 = 515.25/x
  3. Step 3: Cross multiply
    580.71x = 871.65 × 515.25
  4. Step 4: Simplify right side
    580.71x = 449,117.66
  5. Step 5: Solve for x
    x = 449,117.66/580.71
  6. Step 6: Final answer
    x = 773.39

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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.