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Finding the Fourth Proportional to 353.30, 488.22 and 265.82

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Solution

The fourth proportional to 353.30, 488.22 and 265.82 is: 367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.30 : 488.22 = 265.82 : x
  2. Step 2: Convert to fraction form
    353.30/488.22 = 265.82/x
  3. Step 3: Cross multiply
    353.30x = 488.22 × 265.82
  4. Step 4: Simplify right side
    353.30x = 129,778.64
  5. Step 5: Solve for x
    x = 129,778.64/353.30
  6. Step 6: Final answer
    x = 367.33

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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.