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Finding the Fourth Proportional to 589.22, 813.14 and 323.68

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Solution

The fourth proportional to 589.22, 813.14 and 323.68 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 813.14 = 323.68 : x
  2. Step 2: Convert to fraction form
    589.22/813.14 = 323.68/x
  3. Step 3: Cross multiply
    589.22x = 813.14 × 323.68
  4. Step 4: Simplify right side
    589.22x = 263,193.50
  5. Step 5: Solve for x
    x = 263,193.50/589.22
  6. Step 6: Final answer
    x = 446.68

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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.