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Finding the Fourth Proportional to 336.11, 463.70 and 219.83

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Solution

The fourth proportional to 336.11, 463.70 and 219.83 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.11 : 463.70 = 219.83 : x
  2. Step 2: Convert to fraction form
    336.11/463.70 = 219.83/x
  3. Step 3: Cross multiply
    336.11x = 463.70 × 219.83
  4. Step 4: Simplify right side
    336.11x = 101,933.40
  5. Step 5: Solve for x
    x = 101,933.40/336.11
  6. Step 6: Final answer
    x = 303.28

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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.