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Finding the Fourth Proportional to 942.64, 1,414.03 and 326.09

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Solution

The fourth proportional to 942.64, 1,414.03 and 326.09 is: 489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.64 : 1,414.03 = 326.09 : x
  2. Step 2: Convert to fraction form
    942.64/1,414.03 = 326.09/x
  3. Step 3: Cross multiply
    942.64x = 1,414.03 × 326.09
  4. Step 4: Simplify right side
    942.64x = 461,101.04
  5. Step 5: Solve for x
    x = 461,101.04/942.64
  6. Step 6: Final answer
    x = 489.16

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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.