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Finding the Fourth Proportional to 288.89, 398.62 and 274.29

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Solution

The fourth proportional to 288.89, 398.62 and 274.29 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 398.62 = 274.29 : x
  2. Step 2: Convert to fraction form
    288.89/398.62 = 274.29/x
  3. Step 3: Cross multiply
    288.89x = 398.62 × 274.29
  4. Step 4: Simplify right side
    288.89x = 109,337.48
  5. Step 5: Solve for x
    x = 109,337.48/288.89
  6. Step 6: Final answer
    x = 378.47

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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.