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Finding the Fourth Proportional to 414.59, 571.70 and 321.17

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Solution

The fourth proportional to 414.59, 571.70 and 321.17 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 571.70 = 321.17 : x
  2. Step 2: Convert to fraction form
    414.59/571.70 = 321.17/x
  3. Step 3: Cross multiply
    414.59x = 571.70 × 321.17
  4. Step 4: Simplify right side
    414.59x = 183,608.42
  5. Step 5: Solve for x
    x = 183,608.42/414.59
  6. Step 6: Final answer
    x = 442.87

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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.