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Finding the Fourth Proportional to 942.66, 1,414.38 and 326.80

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Solution

The fourth proportional to 942.66, 1,414.38 and 326.80 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.66 : 1,414.38 = 326.80 : x
  2. Step 2: Convert to fraction form
    942.66/1,414.38 = 326.80/x
  3. Step 3: Cross multiply
    942.66x = 1,414.38 × 326.80
  4. Step 4: Simplify right side
    942.66x = 462,221.15
  5. Step 5: Solve for x
    x = 462,221.15/942.66
  6. Step 6: Final answer
    x = 490.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.