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Finding the Fourth Proportional to 414.43, 571.70 and 259.27

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Solution

The fourth proportional to 414.43, 571.70 and 259.27 is: 357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.43 : 571.70 = 259.27 : x
  2. Step 2: Convert to fraction form
    414.43/571.70 = 259.27/x
  3. Step 3: Cross multiply
    414.43x = 571.70 × 259.27
  4. Step 4: Simplify right side
    414.43x = 148,223.36
  5. Step 5: Solve for x
    x = 148,223.36/414.43
  6. Step 6: Final answer
    x = 357.66

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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.