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Finding the Fourth Proportional to 589.90, 814.07 and 324.36

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Solution

The fourth proportional to 589.90, 814.07 and 324.36 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.90 : 814.07 = 324.36 : x
  2. Step 2: Convert to fraction form
    589.90/814.07 = 324.36/x
  3. Step 3: Cross multiply
    589.90x = 814.07 × 324.36
  4. Step 4: Simplify right side
    589.90x = 264,050.12
  5. Step 5: Solve for x
    x = 264,050.12/589.90
  6. Step 6: Final answer
    x = 447.62

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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.