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Finding the Fourth Proportional to 614.22, 920.66 and 267.38

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Solution

The fourth proportional to 614.22, 920.66 and 267.38 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 920.66 = 267.38 : x
  2. Step 2: Convert to fraction form
    614.22/920.66 = 267.38/x
  3. Step 3: Cross multiply
    614.22x = 920.66 × 267.38
  4. Step 4: Simplify right side
    614.22x = 246,166.07
  5. Step 5: Solve for x
    x = 246,166.07/614.22
  6. Step 6: Final answer
    x = 400.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.