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Finding the Fourth Proportional to 320.44, 442.12 and 209.88

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Solution

The fourth proportional to 320.44, 442.12 and 209.88 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 442.12 = 209.88 : x
  2. Step 2: Convert to fraction form
    320.44/442.12 = 209.88/x
  3. Step 3: Cross multiply
    320.44x = 442.12 × 209.88
  4. Step 4: Simplify right side
    320.44x = 92,792.15
  5. Step 5: Solve for x
    x = 92,792.15/320.44
  6. Step 6: Final answer
    x = 289.58

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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.