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Finding the Fourth Proportional to 334.40, 461.20 and 218.08

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Solution

The fourth proportional to 334.40, 461.20 and 218.08 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 461.20 = 218.08 : x
  2. Step 2: Convert to fraction form
    334.40/461.20 = 218.08/x
  3. Step 3: Cross multiply
    334.40x = 461.20 × 218.08
  4. Step 4: Simplify right side
    334.40x = 100,578.50
  5. Step 5: Solve for x
    x = 100,578.50/334.40
  6. Step 6: Final answer
    x = 300.77

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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.