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Finding the Fourth Proportional to 272.94, 407.34 and 247.11

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Solution

The fourth proportional to 272.94, 407.34 and 247.11 is: 368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 407.34 = 247.11 : x
  2. Step 2: Convert to fraction form
    272.94/407.34 = 247.11/x
  3. Step 3: Cross multiply
    272.94x = 407.34 × 247.11
  4. Step 4: Simplify right side
    272.94x = 100,657.79
  5. Step 5: Solve for x
    x = 100,657.79/272.94
  6. Step 6: Final answer
    x = 368.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.