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Finding the Fourth Proportional to 320.33, 442.13 and 209.62

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Solution

The fourth proportional to 320.33, 442.13 and 209.62 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.33 : 442.13 = 209.62 : x
  2. Step 2: Convert to fraction form
    320.33/442.13 = 209.62/x
  3. Step 3: Cross multiply
    320.33x = 442.13 × 209.62
  4. Step 4: Simplify right side
    320.33x = 92,679.29
  5. Step 5: Solve for x
    x = 92,679.29/320.33
  6. Step 6: Final answer
    x = 289.32

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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.