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Finding the Fourth Proportional to 300.68, 416.03 and 261.95

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Solution

The fourth proportional to 300.68, 416.03 and 261.95 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 416.03 = 261.95 : x
  2. Step 2: Convert to fraction form
    300.68/416.03 = 261.95/x
  3. Step 3: Cross multiply
    300.68x = 416.03 × 261.95
  4. Step 4: Simplify right side
    300.68x = 108,975.67
  5. Step 5: Solve for x
    x = 108,975.67/300.68
  6. Step 6: Final answer
    x = 362.44

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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.