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Finding the Fourth Proportional to 335.70, 502.61 and 213.66

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Solution

The fourth proportional to 335.70, 502.61 and 213.66 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.70 : 502.61 = 213.66 : x
  2. Step 2: Convert to fraction form
    335.70/502.61 = 213.66/x
  3. Step 3: Cross multiply
    335.70x = 502.61 × 213.66
  4. Step 4: Simplify right side
    335.70x = 107,386.58
  5. Step 5: Solve for x
    x = 107,386.58/335.70
  6. Step 6: Final answer
    x = 319.89

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