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Finding the Fourth Proportional to 304.31, 419.96 and 199.61

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Solution

The fourth proportional to 304.31, 419.96 and 199.61 is: 275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 419.96 = 199.61 : x
  2. Step 2: Convert to fraction form
    304.31/419.96 = 199.61/x
  3. Step 3: Cross multiply
    304.31x = 419.96 × 199.61
  4. Step 4: Simplify right side
    304.31x = 83,829.99
  5. Step 5: Solve for x
    x = 83,829.99/304.31
  6. Step 6: Final answer
    x = 275.48

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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.