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Finding the Fourth Proportional to 577.04, 863.49 and 500.27

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Solution

The fourth proportional to 577.04, 863.49 and 500.27 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 863.49 = 500.27 : x
  2. Step 2: Convert to fraction form
    577.04/863.49 = 500.27/x
  3. Step 3: Cross multiply
    577.04x = 863.49 × 500.27
  4. Step 4: Simplify right side
    577.04x = 431,973.82
  5. Step 5: Solve for x
    x = 431,973.82/577.04
  6. Step 6: Final answer
    x = 748.61

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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.