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Finding the Fourth Proportional to 334.66, 502.42 and 213.46

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Solution

The fourth proportional to 334.66, 502.42 and 213.46 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.66 : 502.42 = 213.46 : x
  2. Step 2: Convert to fraction form
    334.66/502.42 = 213.46/x
  3. Step 3: Cross multiply
    334.66x = 502.42 × 213.46
  4. Step 4: Simplify right side
    334.66x = 107,246.57
  5. Step 5: Solve for x
    x = 107,246.57/334.66
  6. Step 6: Final answer
    x = 320.46

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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.