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Finding the Fourth Proportional to 440.92, 608.34 and 324.52

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Solution

The fourth proportional to 440.92, 608.34 and 324.52 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.92 : 608.34 = 324.52 : x
  2. Step 2: Convert to fraction form
    440.92/608.34 = 324.52/x
  3. Step 3: Cross multiply
    440.92x = 608.34 × 324.52
  4. Step 4: Simplify right side
    440.92x = 197,418.50
  5. Step 5: Solve for x
    x = 197,418.50/440.92
  6. Step 6: Final answer
    x = 447.74

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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.