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Finding the Fourth Proportional to 548.35, 821.88 and 542.26

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Solution

The fourth proportional to 548.35, 821.88 and 542.26 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.35 : 821.88 = 542.26 : x
  2. Step 2: Convert to fraction form
    548.35/821.88 = 542.26/x
  3. Step 3: Cross multiply
    548.35x = 821.88 × 542.26
  4. Step 4: Simplify right side
    548.35x = 445,672.65
  5. Step 5: Solve for x
    x = 445,672.65/548.35
  6. Step 6: Final answer
    x = 812.75

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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.