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Finding the Fourth Proportional to 356.97, 492.63 and 232.71

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Solution

The fourth proportional to 356.97, 492.63 and 232.71 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.97 : 492.63 = 232.71 : x
  2. Step 2: Convert to fraction form
    356.97/492.63 = 232.71/x
  3. Step 3: Cross multiply
    356.97x = 492.63 × 232.71
  4. Step 4: Simplify right side
    356.97x = 114,639.93
  5. Step 5: Solve for x
    x = 114,639.93/356.97
  6. Step 6: Final answer
    x = 321.15

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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.