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Finding the Fourth Proportional to 577.57, 866.17 and 317.87

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Solution

The fourth proportional to 577.57, 866.17 and 317.87 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.57 : 866.17 = 317.87 : x
  2. Step 2: Convert to fraction form
    577.57/866.17 = 317.87/x
  3. Step 3: Cross multiply
    577.57x = 866.17 × 317.87
  4. Step 4: Simplify right side
    577.57x = 275,324.33
  5. Step 5: Solve for x
    x = 275,324.33/577.57
  6. Step 6: Final answer
    x = 476.69

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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.