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Finding the Fourth Proportional to 577.32, 866.04 and 512.92

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Solution

The fourth proportional to 577.32, 866.04 and 512.92 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 866.04 = 512.92 : x
  2. Step 2: Convert to fraction form
    577.32/866.04 = 512.92/x
  3. Step 3: Cross multiply
    577.32x = 866.04 × 512.92
  4. Step 4: Simplify right side
    577.32x = 444,209.24
  5. Step 5: Solve for x
    x = 444,209.24/577.32
  6. Step 6: Final answer
    x = 769.43

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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.