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Finding the Fourth Proportional to 403.15, 605.13 and 272.74

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Solution

The fourth proportional to 403.15, 605.13 and 272.74 is: 409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.15 : 605.13 = 272.74 : x
  2. Step 2: Convert to fraction form
    403.15/605.13 = 272.74/x
  3. Step 3: Cross multiply
    403.15x = 605.13 × 272.74
  4. Step 4: Simplify right side
    403.15x = 165,043.16
  5. Step 5: Solve for x
    x = 165,043.16/403.15
  6. Step 6: Final answer
    x = 409.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.