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Finding the Fourth Proportional to 274.52, 410.32 and 238.36

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Solution

The fourth proportional to 274.52, 410.32 and 238.36 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 410.32 = 238.36 : x
  2. Step 2: Convert to fraction form
    274.52/410.32 = 238.36/x
  3. Step 3: Cross multiply
    274.52x = 410.32 × 238.36
  4. Step 4: Simplify right side
    274.52x = 97,803.88
  5. Step 5: Solve for x
    x = 97,803.88/274.52
  6. Step 6: Final answer
    x = 356.27

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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.