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Finding the Fourth Proportional to 320.58, 442.26 and 209.88

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Solution

The fourth proportional to 320.58, 442.26 and 209.88 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 442.26 = 209.88 : x
  2. Step 2: Convert to fraction form
    320.58/442.26 = 209.88/x
  3. Step 3: Cross multiply
    320.58x = 442.26 × 209.88
  4. Step 4: Simplify right side
    320.58x = 92,821.53
  5. Step 5: Solve for x
    x = 92,821.53/320.58
  6. Step 6: Final answer
    x = 289.54

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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.