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Finding the Fourth Proportional to 414.52, 571.84 and 267.08

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Solution

The fourth proportional to 414.52, 571.84 and 267.08 is: 368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 571.84 = 267.08 : x
  2. Step 2: Convert to fraction form
    414.52/571.84 = 267.08/x
  3. Step 3: Cross multiply
    414.52x = 571.84 × 267.08
  4. Step 4: Simplify right side
    414.52x = 152,727.03
  5. Step 5: Solve for x
    x = 152,727.03/414.52
  6. Step 6: Final answer
    x = 368.44

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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.