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Finding the Fourth Proportional to 577.61, 865.76 and 440.20

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Solution

The fourth proportional to 577.61, 865.76 and 440.20 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.61 : 865.76 = 440.20 : x
  2. Step 2: Convert to fraction form
    577.61/865.76 = 440.20/x
  3. Step 3: Cross multiply
    577.61x = 865.76 × 440.20
  4. Step 4: Simplify right side
    577.61x = 381,103.22
  5. Step 5: Solve for x
    x = 381,103.22/577.61
  6. Step 6: Final answer
    x = 659.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.