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Finding the Fourth Proportional to 414.73, 572.05 and 340.92

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Solution

The fourth proportional to 414.73, 572.05 and 340.92 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.73 : 572.05 = 340.92 : x
  2. Step 2: Convert to fraction form
    414.73/572.05 = 340.92/x
  3. Step 3: Cross multiply
    414.73x = 572.05 × 340.92
  4. Step 4: Simplify right side
    414.73x = 195,021.79
  5. Step 5: Solve for x
    x = 195,021.79/414.73
  6. Step 6: Final answer
    x = 470.24

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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.