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Finding the Fourth Proportional to 414.69, 572.20 and 267.27

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Solution

The fourth proportional to 414.69, 572.20 and 267.27 is: 368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.69 : 572.20 = 267.27 : x
  2. Step 2: Convert to fraction form
    414.69/572.20 = 267.27/x
  3. Step 3: Cross multiply
    414.69x = 572.20 × 267.27
  4. Step 4: Simplify right side
    414.69x = 152,931.89
  5. Step 5: Solve for x
    x = 152,931.89/414.69
  6. Step 6: Final answer
    x = 368.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.