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Finding the Fourth Proportional to 440.52, 661.26 and 324.61

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Solution

The fourth proportional to 440.52, 661.26 and 324.61 is: 487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.52 : 661.26 = 324.61 : x
  2. Step 2: Convert to fraction form
    440.52/661.26 = 324.61/x
  3. Step 3: Cross multiply
    440.52x = 661.26 × 324.61
  4. Step 4: Simplify right side
    440.52x = 214,651.17
  5. Step 5: Solve for x
    x = 214,651.17/440.52
  6. Step 6: Final answer
    x = 487.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.