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Finding the Fourth Proportional to 414.18, 571.41 and 259.02

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Solution

The fourth proportional to 414.18, 571.41 and 259.02 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 571.41 = 259.02 : x
  2. Step 2: Convert to fraction form
    414.18/571.41 = 259.02/x
  3. Step 3: Cross multiply
    414.18x = 571.41 × 259.02
  4. Step 4: Simplify right side
    414.18x = 148,006.62
  5. Step 5: Solve for x
    x = 148,006.62/414.18
  6. Step 6: Final answer
    x = 357.35

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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.