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Finding the Fourth Proportional to 440.70, 661.02 and 209.24

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Solution

The fourth proportional to 440.70, 661.02 and 209.24 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.70 : 661.02 = 209.24 : x
  2. Step 2: Convert to fraction form
    440.70/661.02 = 209.24/x
  3. Step 3: Cross multiply
    440.70x = 661.02 × 209.24
  4. Step 4: Simplify right side
    440.70x = 138,311.82
  5. Step 5: Solve for x
    x = 138,311.82/440.70
  6. Step 6: Final answer
    x = 313.85

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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.