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Finding the Fourth Proportional to 334.13, 460.98 and 209.90

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Solution

The fourth proportional to 334.13, 460.98 and 209.90 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 460.98 = 209.90 : x
  2. Step 2: Convert to fraction form
    334.13/460.98 = 209.90/x
  3. Step 3: Cross multiply
    334.13x = 460.98 × 209.90
  4. Step 4: Simplify right side
    334.13x = 96,760.85
  5. Step 5: Solve for x
    x = 96,760.85/334.13
  6. Step 6: Final answer
    x = 289.59

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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.