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Finding the Fourth Proportional to 326.76, 491.97 and 272.40

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Solution

The fourth proportional to 326.76, 491.97 and 272.40 is: 410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.76 : 491.97 = 272.40 : x
  2. Step 2: Convert to fraction form
    326.76/491.97 = 272.40/x
  3. Step 3: Cross multiply
    326.76x = 491.97 × 272.40
  4. Step 4: Simplify right side
    326.76x = 134,012.63
  5. Step 5: Solve for x
    x = 134,012.63/326.76
  6. Step 6: Final answer
    x = 410.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.