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Finding the Fourth Proportional to 319.68, 441.24 and 209.40

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Solution

The fourth proportional to 319.68, 441.24 and 209.40 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 441.24 = 209.40 : x
  2. Step 2: Convert to fraction form
    319.68/441.24 = 209.40/x
  3. Step 3: Cross multiply
    319.68x = 441.24 × 209.40
  4. Step 4: Simplify right side
    319.68x = 92,395.66
  5. Step 5: Solve for x
    x = 92,395.66/319.68
  6. Step 6: Final answer
    x = 289.03

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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.