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Finding the Fourth Proportional to 414.09, 570.99 and 296.01

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Solution

The fourth proportional to 414.09, 570.99 and 296.01 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 570.99 = 296.01 : x
  2. Step 2: Convert to fraction form
    414.09/570.99 = 296.01/x
  3. Step 3: Cross multiply
    414.09x = 570.99 × 296.01
  4. Step 4: Simplify right side
    414.09x = 169,018.75
  5. Step 5: Solve for x
    x = 169,018.75/414.09
  6. Step 6: Final answer
    x = 408.17

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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.