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Finding the Fourth Proportional to 614.10, 921.14 and 267.44

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Solution

The fourth proportional to 614.10, 921.14 and 267.44 is: 401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.10 : 921.14 = 267.44 : x
  2. Step 2: Convert to fraction form
    614.10/921.14 = 267.44/x
  3. Step 3: Cross multiply
    614.10x = 921.14 × 267.44
  4. Step 4: Simplify right side
    614.10x = 246,347.19
  5. Step 5: Solve for x
    x = 246,347.19/614.10
  6. Step 6: Final answer
    x = 401.15

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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.