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Finding the Fourth Proportional to 334.68, 502.32 and 213.16

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Solution

The fourth proportional to 334.68, 502.32 and 213.16 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 502.32 = 213.16 : x
  2. Step 2: Convert to fraction form
    334.68/502.32 = 213.16/x
  3. Step 3: Cross multiply
    334.68x = 502.32 × 213.16
  4. Step 4: Simplify right side
    334.68x = 107,074.53
  5. Step 5: Solve for x
    x = 107,074.53/334.68
  6. Step 6: Final answer
    x = 319.93

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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.