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Finding the Fourth Proportional to 577.08, 865.61 and 144.24

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Solution

The fourth proportional to 577.08, 865.61 and 144.24 is: 216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 865.61 = 144.24 : x
  2. Step 2: Convert to fraction form
    577.08/865.61 = 144.24/x
  3. Step 3: Cross multiply
    577.08x = 865.61 × 144.24
  4. Step 4: Simplify right side
    577.08x = 124,854.87
  5. Step 5: Solve for x
    x = 124,854.87/577.08
  6. Step 6: Final answer
    x = 216.36

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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.