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Finding the Fourth Proportional to 333.36, 460.08 and 217.44

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Solution

The fourth proportional to 333.36, 460.08 and 217.44 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 460.08 = 217.44 : x
  2. Step 2: Convert to fraction form
    333.36/460.08 = 217.44/x
  3. Step 3: Cross multiply
    333.36x = 460.08 × 217.44
  4. Step 4: Simplify right side
    333.36x = 100,039.80
  5. Step 5: Solve for x
    x = 100,039.80/333.36
  6. Step 6: Final answer
    x = 300.10

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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.