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Finding the Fourth Proportional to 335.82, 502.90 and 232.82

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Solution

The fourth proportional to 335.82, 502.90 and 232.82 is: 348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 502.90 = 232.82 : x
  2. Step 2: Convert to fraction form
    335.82/502.90 = 232.82/x
  3. Step 3: Cross multiply
    335.82x = 502.90 × 232.82
  4. Step 4: Simplify right side
    335.82x = 117,085.18
  5. Step 5: Solve for x
    x = 117,085.18/335.82
  6. Step 6: Final answer
    x = 348.65

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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.