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Finding the Fourth Proportional to 440.04, 660.24 and 223.77

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Solution

The fourth proportional to 440.04, 660.24 and 223.77 is: 335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.04 : 660.24 = 223.77 : x
  2. Step 2: Convert to fraction form
    440.04/660.24 = 223.77/x
  3. Step 3: Cross multiply
    440.04x = 660.24 × 223.77
  4. Step 4: Simplify right side
    440.04x = 147,741.90
  5. Step 5: Solve for x
    x = 147,741.90/440.04
  6. Step 6: Final answer
    x = 335.75

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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.