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Finding the Fourth Proportional to 356.96, 492.24 and 269.48

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Solution

The fourth proportional to 356.96, 492.24 and 269.48 is: 371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 492.24 = 269.48 : x
  2. Step 2: Convert to fraction form
    356.96/492.24 = 269.48/x
  3. Step 3: Cross multiply
    356.96x = 492.24 × 269.48
  4. Step 4: Simplify right side
    356.96x = 132,648.84
  5. Step 5: Solve for x
    x = 132,648.84/356.96
  6. Step 6: Final answer
    x = 371.61

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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.