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Finding the Fourth Proportional to 414.54, 571.86 and 267.39

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Solution

The fourth proportional to 414.54, 571.86 and 267.39 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 571.86 = 267.39 : x
  2. Step 2: Convert to fraction form
    414.54/571.86 = 267.39/x
  3. Step 3: Cross multiply
    414.54x = 571.86 × 267.39
  4. Step 4: Simplify right side
    414.54x = 152,909.65
  5. Step 5: Solve for x
    x = 152,909.65/414.54
  6. Step 6: Final answer
    x = 368.87

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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.