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Finding the Fourth Proportional to 577.46, 866.17 and 269.13

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Solution

The fourth proportional to 577.46, 866.17 and 269.13 is: 403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 866.17 = 269.13 : x
  2. Step 2: Convert to fraction form
    577.46/866.17 = 269.13/x
  3. Step 3: Cross multiply
    577.46x = 866.17 × 269.13
  4. Step 4: Simplify right side
    577.46x = 233,115.92
  5. Step 5: Solve for x
    x = 233,115.92/577.46
  6. Step 6: Final answer
    x = 403.70

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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.