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Finding the Fourth Proportional to 549.75, 824.01 and 276.08

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Solution

The fourth proportional to 549.75, 824.01 and 276.08 is: 413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 824.01 = 276.08 : x
  2. Step 2: Convert to fraction form
    549.75/824.01 = 276.08/x
  3. Step 3: Cross multiply
    549.75x = 824.01 × 276.08
  4. Step 4: Simplify right side
    549.75x = 227,488.56
  5. Step 5: Solve for x
    x = 227,488.56/549.75
  6. Step 6: Final answer
    x = 413.80

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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.