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Finding the Fourth Proportional to 440.01, 659.38 and 208.78

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Solution

The fourth proportional to 440.01, 659.38 and 208.78 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.01 : 659.38 = 208.78 : x
  2. Step 2: Convert to fraction form
    440.01/659.38 = 208.78/x
  3. Step 3: Cross multiply
    440.01x = 659.38 × 208.78
  4. Step 4: Simplify right side
    440.01x = 137,665.36
  5. Step 5: Solve for x
    x = 137,665.36/440.01
  6. Step 6: Final answer
    x = 312.87

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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.