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Finding the Fourth Proportional to 274.29, 409.36 and 263.13

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Solution

The fourth proportional to 274.29, 409.36 and 263.13 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.29 : 409.36 = 263.13 : x
  2. Step 2: Convert to fraction form
    274.29/409.36 = 263.13/x
  3. Step 3: Cross multiply
    274.29x = 409.36 × 263.13
  4. Step 4: Simplify right side
    274.29x = 107,716.24
  5. Step 5: Solve for x
    x = 107,716.24/274.29
  6. Step 6: Final answer
    x = 392.70

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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.