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Finding the Fourth Proportional to 352.88, 486.67 and 269.83

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Solution

The fourth proportional to 352.88, 486.67 and 269.83 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.88 : 486.67 = 269.83 : x
  2. Step 2: Convert to fraction form
    352.88/486.67 = 269.83/x
  3. Step 3: Cross multiply
    352.88x = 486.67 × 269.83
  4. Step 4: Simplify right side
    352.88x = 131,314.38
  5. Step 5: Solve for x
    x = 131,314.38/352.88
  6. Step 6: Final answer
    x = 372.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.