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Finding the Fourth Proportional to 440.13, 659.75 and 209.08

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Solution

The fourth proportional to 440.13, 659.75 and 209.08 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 659.75 = 209.08 : x
  2. Step 2: Convert to fraction form
    440.13/659.75 = 209.08/x
  3. Step 3: Cross multiply
    440.13x = 659.75 × 209.08
  4. Step 4: Simplify right side
    440.13x = 137,940.31
  5. Step 5: Solve for x
    x = 137,940.31/440.13
  6. Step 6: Final answer
    x = 313.41

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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.