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Finding the Fourth Proportional to 550.08, 821.52 and 542.88

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Solution

The fourth proportional to 550.08, 821.52 and 542.88 is: 810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.08 : 821.52 = 542.88 : x
  2. Step 2: Convert to fraction form
    550.08/821.52 = 542.88/x
  3. Step 3: Cross multiply
    550.08x = 821.52 × 542.88
  4. Step 4: Simplify right side
    550.08x = 445,986.78
  5. Step 5: Solve for x
    x = 445,986.78/550.08
  6. Step 6: Final answer
    x = 810.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.