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Finding the Fourth Proportional to 414.30, 571.86 and 321.42

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Solution

The fourth proportional to 414.30, 571.86 and 321.42 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 571.86 = 321.42 : x
  2. Step 2: Convert to fraction form
    414.30/571.86 = 321.42/x
  3. Step 3: Cross multiply
    414.30x = 571.86 × 321.42
  4. Step 4: Simplify right side
    414.30x = 183,807.24
  5. Step 5: Solve for x
    x = 183,807.24/414.30
  6. Step 6: Final answer
    x = 443.66

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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.