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Finding the Fourth Proportional to 577.20, 797.37 and 447.87

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Solution

The fourth proportional to 577.20, 797.37 and 447.87 is: 618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 797.37 = 447.87 : x
  2. Step 2: Convert to fraction form
    577.20/797.37 = 447.87/x
  3. Step 3: Cross multiply
    577.20x = 797.37 × 447.87
  4. Step 4: Simplify right side
    577.20x = 357,118.10
  5. Step 5: Solve for x
    x = 357,118.10/577.20
  6. Step 6: Final answer
    x = 618.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.