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Finding the Fourth Proportional to 414.84, 572.34 and 267.66

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Solution

The fourth proportional to 414.84, 572.34 and 267.66 is: 369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.34 = 267.66 : x
  2. Step 2: Convert to fraction form
    414.84/572.34 = 267.66/x
  3. Step 3: Cross multiply
    414.84x = 572.34 × 267.66
  4. Step 4: Simplify right side
    414.84x = 153,192.52
  5. Step 5: Solve for x
    x = 153,192.52/414.84
  6. Step 6: Final answer
    x = 369.28

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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.