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Finding the Fourth Proportional to 356.49, 492.42 and 274.02

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Solution

The fourth proportional to 356.49, 492.42 and 274.02 is: 378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.49 : 492.42 = 274.02 : x
  2. Step 2: Convert to fraction form
    356.49/492.42 = 274.02/x
  3. Step 3: Cross multiply
    356.49x = 492.42 × 274.02
  4. Step 4: Simplify right side
    356.49x = 134,932.26
  5. Step 5: Solve for x
    x = 134,932.26/356.49
  6. Step 6: Final answer
    x = 378.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.