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Finding the Fourth Proportional to 614.38, 920.55 and 267.20

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Solution

The fourth proportional to 614.38, 920.55 and 267.20 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 920.55 = 267.20 : x
  2. Step 2: Convert to fraction form
    614.38/920.55 = 267.20/x
  3. Step 3: Cross multiply
    614.38x = 920.55 × 267.20
  4. Step 4: Simplify right side
    614.38x = 245,967.58
  5. Step 5: Solve for x
    x = 245,967.58/614.38
  6. Step 6: Final answer
    x = 400.35

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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.