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Finding the Fourth Proportional to 414.00, 619.76 and 267.46

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Solution

The fourth proportional to 414.00, 619.76 and 267.46 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.00 : 619.76 = 267.46 : x
  2. Step 2: Convert to fraction form
    414.00/619.76 = 267.46/x
  3. Step 3: Cross multiply
    414.00x = 619.76 × 267.46
  4. Step 4: Simplify right side
    414.00x = 165,761.89
  5. Step 5: Solve for x
    x = 165,761.89/414.00
  6. Step 6: Final answer
    x = 400.40

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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.