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Finding the Fourth Proportional to 334.73, 502.49 and 213.50

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Solution

The fourth proportional to 334.73, 502.49 and 213.50 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.73 : 502.49 = 213.50 : x
  2. Step 2: Convert to fraction form
    334.73/502.49 = 213.50/x
  3. Step 3: Cross multiply
    334.73x = 502.49 × 213.50
  4. Step 4: Simplify right side
    334.73x = 107,281.62
  5. Step 5: Solve for x
    x = 107,281.62/334.73
  6. Step 6: Final answer
    x = 320.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.