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Finding the Fourth Proportional to 577.36, 869.77 and 548.71

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Solution

The fourth proportional to 577.36, 869.77 and 548.71 is: 826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 869.77 = 548.71 : x
  2. Step 2: Convert to fraction form
    577.36/869.77 = 548.71/x
  3. Step 3: Cross multiply
    577.36x = 869.77 × 548.71
  4. Step 4: Simplify right side
    577.36x = 477,250.01
  5. Step 5: Solve for x
    x = 477,250.01/577.36
  6. Step 6: Final answer
    x = 826.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.