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Finding the Fourth Proportional to 577.90, 864.97 and 440.20

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Solution

The fourth proportional to 577.90, 864.97 and 440.20 is: 658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.90 : 864.97 = 440.20 : x
  2. Step 2: Convert to fraction form
    577.90/864.97 = 440.20/x
  3. Step 3: Cross multiply
    577.90x = 864.97 × 440.20
  4. Step 4: Simplify right side
    577.90x = 380,759.79
  5. Step 5: Solve for x
    x = 380,759.79/577.90
  6. Step 6: Final answer
    x = 658.87

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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.