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Finding the Fourth Proportional to 414.66, 570.80 and 331.14

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Solution

The fourth proportional to 414.66, 570.80 and 331.14 is: 455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 570.80 = 331.14 : x
  2. Step 2: Convert to fraction form
    414.66/570.80 = 331.14/x
  3. Step 3: Cross multiply
    414.66x = 570.80 × 331.14
  4. Step 4: Simplify right side
    414.66x = 189,014.71
  5. Step 5: Solve for x
    x = 189,014.71/414.66
  6. Step 6: Final answer
    x = 455.83

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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.