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Finding the Fourth Proportional to 549.67, 823.19 and 401.03

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Solution

The fourth proportional to 549.67, 823.19 and 401.03 is: 600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.67 : 823.19 = 401.03 : x
  2. Step 2: Convert to fraction form
    549.67/823.19 = 401.03/x
  3. Step 3: Cross multiply
    549.67x = 823.19 × 401.03
  4. Step 4: Simplify right side
    549.67x = 330,123.89
  5. Step 5: Solve for x
    x = 330,123.89/549.67
  6. Step 6: Final answer
    x = 600.59

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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.