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Finding the Fourth Proportional to 274.02, 409.08 and 233.02

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Solution

The fourth proportional to 274.02, 409.08 and 233.02 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.02 : 409.08 = 233.02 : x
  2. Step 2: Convert to fraction form
    274.02/409.08 = 233.02/x
  3. Step 3: Cross multiply
    274.02x = 409.08 × 233.02
  4. Step 4: Simplify right side
    274.02x = 95,323.82
  5. Step 5: Solve for x
    x = 95,323.82/274.02
  6. Step 6: Final answer
    x = 347.87

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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.