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Finding the Fourth Proportional to 303.36, 457.56 and 271.68

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Solution

The fourth proportional to 303.36, 457.56 and 271.68 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 457.56 = 271.68 : x
  2. Step 2: Convert to fraction form
    303.36/457.56 = 271.68/x
  3. Step 3: Cross multiply
    303.36x = 457.56 × 271.68
  4. Step 4: Simplify right side
    303.36x = 124,309.90
  5. Step 5: Solve for x
    x = 124,309.90/303.36
  6. Step 6: Final answer
    x = 409.78

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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.