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Finding the Fourth Proportional to 304.32, 419.85 and 199.55

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Solution

The fourth proportional to 304.32, 419.85 and 199.55 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 419.85 = 199.55 : x
  2. Step 2: Convert to fraction form
    304.32/419.85 = 199.55/x
  3. Step 3: Cross multiply
    304.32x = 419.85 × 199.55
  4. Step 4: Simplify right side
    304.32x = 83,778.97
  5. Step 5: Solve for x
    x = 83,778.97/304.32
  6. Step 6: Final answer
    x = 275.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.