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Finding the Fourth Proportional to 589.70, 813.78 and 324.14

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Solution

The fourth proportional to 589.70, 813.78 and 324.14 is: 447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 813.78 = 324.14 : x
  2. Step 2: Convert to fraction form
    589.70/813.78 = 324.14/x
  3. Step 3: Cross multiply
    589.70x = 813.78 × 324.14
  4. Step 4: Simplify right side
    589.70x = 263,774.58
  5. Step 5: Solve for x
    x = 263,774.58/589.70
  6. Step 6: Final answer
    x = 447.31

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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.