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Finding the Fourth Proportional to 414.91, 572.76 and 267.63

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Solution

The fourth proportional to 414.91, 572.76 and 267.63 is: 369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.91 : 572.76 = 267.63 : x
  2. Step 2: Convert to fraction form
    414.91/572.76 = 267.63/x
  3. Step 3: Cross multiply
    414.91x = 572.76 × 267.63
  4. Step 4: Simplify right side
    414.91x = 153,287.76
  5. Step 5: Solve for x
    x = 153,287.76/414.91
  6. Step 6: Final answer
    x = 369.45

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