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Finding the Fourth Proportional to 549.25, 822.31 and 506.18

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Solution

The fourth proportional to 549.25, 822.31 and 506.18 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 822.31 = 506.18 : x
  2. Step 2: Convert to fraction form
    549.25/822.31 = 506.18/x
  3. Step 3: Cross multiply
    549.25x = 822.31 × 506.18
  4. Step 4: Simplify right side
    549.25x = 416,237.67
  5. Step 5: Solve for x
    x = 416,237.67/549.25
  6. Step 6: Final answer
    x = 757.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.