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Finding the Fourth Proportional to 319.48, 440.58 and 209.05

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Solution

The fourth proportional to 319.48, 440.58 and 209.05 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 440.58 = 209.05 : x
  2. Step 2: Convert to fraction form
    319.48/440.58 = 209.05/x
  3. Step 3: Cross multiply
    319.48x = 440.58 × 209.05
  4. Step 4: Simplify right side
    319.48x = 92,103.25
  5. Step 5: Solve for x
    x = 92,103.25/319.48
  6. Step 6: Final answer
    x = 288.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.