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Finding the Fourth Proportional to 577.60, 866.39 and 144.76

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Solution

The fourth proportional to 577.60, 866.39 and 144.76 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 866.39 = 144.76 : x
  2. Step 2: Convert to fraction form
    577.60/866.39 = 144.76/x
  3. Step 3: Cross multiply
    577.60x = 866.39 × 144.76
  4. Step 4: Simplify right side
    577.60x = 125,418.62
  5. Step 5: Solve for x
    x = 125,418.62/577.60
  6. Step 6: Final answer
    x = 217.14

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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.