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Finding the Fourth Proportional to 942.58, 1,414.22 and 326.35

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Solution

The fourth proportional to 942.58, 1,414.22 and 326.35 is: 489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.58 : 1,414.22 = 326.35 : x
  2. Step 2: Convert to fraction form
    942.58/1,414.22 = 326.35/x
  3. Step 3: Cross multiply
    942.58x = 1,414.22 × 326.35
  4. Step 4: Simplify right side
    942.58x = 461,530.83
  5. Step 5: Solve for x
    x = 461,530.83/942.58
  6. Step 6: Final answer
    x = 489.65

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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.