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Finding the Fourth Proportional to 335.44, 502.14 and 213.58

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Solution

The fourth proportional to 335.44, 502.14 and 213.58 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.44 : 502.14 = 213.58 : x
  2. Step 2: Convert to fraction form
    335.44/502.14 = 213.58/x
  3. Step 3: Cross multiply
    335.44x = 502.14 × 213.58
  4. Step 4: Simplify right side
    335.44x = 107,247.06
  5. Step 5: Solve for x
    x = 107,247.06/335.44
  6. Step 6: Final answer
    x = 319.72

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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.