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Finding the Fourth Proportional to 414.76, 571.96 and 259.60

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Solution

The fourth proportional to 414.76, 571.96 and 259.60 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 571.96 = 259.60 : x
  2. Step 2: Convert to fraction form
    414.76/571.96 = 259.60/x
  3. Step 3: Cross multiply
    414.76x = 571.96 × 259.60
  4. Step 4: Simplify right side
    414.76x = 148,480.82
  5. Step 5: Solve for x
    x = 148,480.82/414.76
  6. Step 6: Final answer
    x = 357.99

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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.