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Finding the Fourth Proportional to 414.10, 571.69 and 259.06

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Solution

The fourth proportional to 414.10, 571.69 and 259.06 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 571.69 = 259.06 : x
  2. Step 2: Convert to fraction form
    414.10/571.69 = 259.06/x
  3. Step 3: Cross multiply
    414.10x = 571.69 × 259.06
  4. Step 4: Simplify right side
    414.10x = 148,102.01
  5. Step 5: Solve for x
    x = 148,102.01/414.10
  6. Step 6: Final answer
    x = 357.65

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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.