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Finding the Fourth Proportional to 577.18, 863.70 and 538.56

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Solution

The fourth proportional to 577.18, 863.70 and 538.56 is: 805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 863.70 = 538.56 : x
  2. Step 2: Convert to fraction form
    577.18/863.70 = 538.56/x
  3. Step 3: Cross multiply
    577.18x = 863.70 × 538.56
  4. Step 4: Simplify right side
    577.18x = 465,154.27
  5. Step 5: Solve for x
    x = 465,154.27/577.18
  6. Step 6: Final answer
    x = 805.91

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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.