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Finding the Fourth Proportional to 334.08, 461.16 and 217.84

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Solution

The fourth proportional to 334.08, 461.16 and 217.84 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 461.16 = 217.84 : x
  2. Step 2: Convert to fraction form
    334.08/461.16 = 217.84/x
  3. Step 3: Cross multiply
    334.08x = 461.16 × 217.84
  4. Step 4: Simplify right side
    334.08x = 100,459.09
  5. Step 5: Solve for x
    x = 100,459.09/334.08
  6. Step 6: Final answer
    x = 300.70

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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.