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Finding the Fourth Proportional to 577.48, 866.22 and 144.62

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Solution

The fourth proportional to 577.48, 866.22 and 144.62 is: 216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.48 : 866.22 = 144.62 : x
  2. Step 2: Convert to fraction form
    577.48/866.22 = 144.62/x
  3. Step 3: Cross multiply
    577.48x = 866.22 × 144.62
  4. Step 4: Simplify right side
    577.48x = 125,272.74
  5. Step 5: Solve for x
    x = 125,272.74/577.48
  6. Step 6: Final answer
    x = 216.93

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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.