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Finding the Fourth Proportional to 288.43, 395.33 and 278.03

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Solution

The fourth proportional to 288.43, 395.33 and 278.03 is: 381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.43 : 395.33 = 278.03 : x
  2. Step 2: Convert to fraction form
    288.43/395.33 = 278.03/x
  3. Step 3: Cross multiply
    288.43x = 395.33 × 278.03
  4. Step 4: Simplify right side
    288.43x = 109,915.28
  5. Step 5: Solve for x
    x = 109,915.28/288.43
  6. Step 6: Final answer
    x = 381.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.