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Finding the Fourth Proportional to 589.97, 814.10 and 324.35

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Solution

The fourth proportional to 589.97, 814.10 and 324.35 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 814.10 = 324.35 : x
  2. Step 2: Convert to fraction form
    589.97/814.10 = 324.35/x
  3. Step 3: Cross multiply
    589.97x = 814.10 × 324.35
  4. Step 4: Simplify right side
    589.97x = 264,057.10
  5. Step 5: Solve for x
    x = 264,057.10/589.97
  6. Step 6: Final answer
    x = 447.58

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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.