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Finding the Fourth Proportional to 303.56, 419.09 and 220.58

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Solution

The fourth proportional to 303.56, 419.09 and 220.58 is: 304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.56 : 419.09 = 220.58 : x
  2. Step 2: Convert to fraction form
    303.56/419.09 = 220.58/x
  3. Step 3: Cross multiply
    303.56x = 419.09 × 220.58
  4. Step 4: Simplify right side
    303.56x = 92,439.67
  5. Step 5: Solve for x
    x = 92,439.67/303.56
  6. Step 6: Final answer
    x = 304.52

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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.