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Finding the Fourth Proportional to 414.13, 570.91 and 296.07

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Solution

The fourth proportional to 414.13, 570.91 and 296.07 is: 408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 570.91 = 296.07 : x
  2. Step 2: Convert to fraction form
    414.13/570.91 = 296.07/x
  3. Step 3: Cross multiply
    414.13x = 570.91 × 296.07
  4. Step 4: Simplify right side
    414.13x = 169,028.58
  5. Step 5: Solve for x
    x = 169,028.58/414.13
  6. Step 6: Final answer
    x = 408.16

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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.