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Finding the Fourth Proportional to 414.65, 571.97 and 259.13

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Solution

The fourth proportional to 414.65, 571.97 and 259.13 is: 357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 571.97 = 259.13 : x
  2. Step 2: Convert to fraction form
    414.65/571.97 = 259.13/x
  3. Step 3: Cross multiply
    414.65x = 571.97 × 259.13
  4. Step 4: Simplify right side
    414.65x = 148,212.37
  5. Step 5: Solve for x
    x = 148,212.37/414.65
  6. Step 6: Final answer
    x = 357.44

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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.