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Finding the Fourth Proportional to 544.38, 814.72 and 328.11

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Solution

The fourth proportional to 544.38, 814.72 and 328.11 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.38 : 814.72 = 328.11 : x
  2. Step 2: Convert to fraction form
    544.38/814.72 = 328.11/x
  3. Step 3: Cross multiply
    544.38x = 814.72 × 328.11
  4. Step 4: Simplify right side
    544.38x = 267,317.78
  5. Step 5: Solve for x
    x = 267,317.78/544.38
  6. Step 6: Final answer
    x = 491.05

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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.