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Finding the Fourth Proportional to 334.92, 461.16 and 288.22

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Solution

The fourth proportional to 334.92, 461.16 and 288.22 is: 396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 461.16 = 288.22 : x
  2. Step 2: Convert to fraction form
    334.92/461.16 = 288.22/x
  3. Step 3: Cross multiply
    334.92x = 461.16 × 288.22
  4. Step 4: Simplify right side
    334.92x = 132,915.54
  5. Step 5: Solve for x
    x = 132,915.54/334.92
  6. Step 6: Final answer
    x = 396.86

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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.