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Finding the Fourth Proportional to 414.16, 571.20 and 297.52

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Solution

The fourth proportional to 414.16, 571.20 and 297.52 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.20 = 297.52 : x
  2. Step 2: Convert to fraction form
    414.16/571.20 = 297.52/x
  3. Step 3: Cross multiply
    414.16x = 571.20 × 297.52
  4. Step 4: Simplify right side
    414.16x = 169,943.42
  5. Step 5: Solve for x
    x = 169,943.42/414.16
  6. Step 6: Final answer
    x = 410.33

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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.