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Finding the Fourth Proportional to 440.21, 660.12 and 257.73

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Solution

The fourth proportional to 440.21, 660.12 and 257.73 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.21 : 660.12 = 257.73 : x
  2. Step 2: Convert to fraction form
    440.21/660.12 = 257.73/x
  3. Step 3: Cross multiply
    440.21x = 660.12 × 257.73
  4. Step 4: Simplify right side
    440.21x = 170,132.73
  5. Step 5: Solve for x
    x = 170,132.73/440.21
  6. Step 6: Final answer
    x = 386.49

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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.