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Finding the Fourth Proportional to 294.87, 406.46 and 232.61

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Solution

The fourth proportional to 294.87, 406.46 and 232.61 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.87 : 406.46 = 232.61 : x
  2. Step 2: Convert to fraction form
    294.87/406.46 = 232.61/x
  3. Step 3: Cross multiply
    294.87x = 406.46 × 232.61
  4. Step 4: Simplify right side
    294.87x = 94,543.47
  5. Step 5: Solve for x
    x = 94,543.47/294.87
  6. Step 6: Final answer
    x = 320.63

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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.