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Finding the Fourth Proportional to 414.64, 571 and 406.12

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Solution

The fourth proportional to 414.64, 571 and 406.12 is: 559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 571 = 406.12 : x
  2. Step 2: Convert to fraction form
    414.64/571 = 406.12/x
  3. Step 3: Cross multiply
    414.64x = 571 × 406.12
  4. Step 4: Simplify right side
    414.64x = 231,894.52
  5. Step 5: Solve for x
    x = 231,894.52/414.64
  6. Step 6: Final answer
    x = 559.27

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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.