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Finding the Fourth Proportional to 577.20, 861.16 and 515.64

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Solution

The fourth proportional to 577.20, 861.16 and 515.64 is: 769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 861.16 = 515.64 : x
  2. Step 2: Convert to fraction form
    577.20/861.16 = 515.64/x
  3. Step 3: Cross multiply
    577.20x = 861.16 × 515.64
  4. Step 4: Simplify right side
    577.20x = 444,048.54
  5. Step 5: Solve for x
    x = 444,048.54/577.20
  6. Step 6: Final answer
    x = 769.31

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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.