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Finding the Fourth Proportional to 414.09, 571.56 and 288.12

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Solution

The fourth proportional to 414.09, 571.56 and 288.12 is: 397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 571.56 = 288.12 : x
  2. Step 2: Convert to fraction form
    414.09/571.56 = 288.12/x
  3. Step 3: Cross multiply
    414.09x = 571.56 × 288.12
  4. Step 4: Simplify right side
    414.09x = 164,677.87
  5. Step 5: Solve for x
    x = 164,677.87/414.09
  6. Step 6: Final answer
    x = 397.69

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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.