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Finding the Fourth Proportional to 549.70, 824.67 and 275.44

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Solution

The fourth proportional to 549.70, 824.67 and 275.44 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.70 : 824.67 = 275.44 : x
  2. Step 2: Convert to fraction form
    549.70/824.67 = 275.44/x
  3. Step 3: Cross multiply
    549.70x = 824.67 × 275.44
  4. Step 4: Simplify right side
    549.70x = 227,147.10
  5. Step 5: Solve for x
    x = 227,147.10/549.70
  6. Step 6: Final answer
    x = 413.22

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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.