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Finding the Fourth Proportional to 549.38, 823.68 and 275.28

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Solution

The fourth proportional to 549.38, 823.68 and 275.28 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 823.68 = 275.28 : x
  2. Step 2: Convert to fraction form
    549.38/823.68 = 275.28/x
  3. Step 3: Cross multiply
    549.38x = 823.68 × 275.28
  4. Step 4: Simplify right side
    549.38x = 226,742.63
  5. Step 5: Solve for x
    x = 226,742.63/549.38
  6. Step 6: Final answer
    x = 412.72

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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.