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Finding the Fourth Proportional to 414.11, 619.97 and 322.53

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Solution

The fourth proportional to 414.11, 619.97 and 322.53 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.11 : 619.97 = 322.53 : x
  2. Step 2: Convert to fraction form
    414.11/619.97 = 322.53/x
  3. Step 3: Cross multiply
    414.11x = 619.97 × 322.53
  4. Step 4: Simplify right side
    414.11x = 199,957.31
  5. Step 5: Solve for x
    x = 199,957.31/414.11
  6. Step 6: Final answer
    x = 482.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.