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Finding the Fourth Proportional to 549.09, 823.20 and 366.03

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Solution

The fourth proportional to 549.09, 823.20 and 366.03 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.09 : 823.20 = 366.03 : x
  2. Step 2: Convert to fraction form
    549.09/823.20 = 366.03/x
  3. Step 3: Cross multiply
    549.09x = 823.20 × 366.03
  4. Step 4: Simplify right side
    549.09x = 301,315.90
  5. Step 5: Solve for x
    x = 301,315.90/549.09
  6. Step 6: Final answer
    x = 548.76

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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.