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Finding the Fourth Proportional to 288.78, 398.28 and 201.45

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Solution

The fourth proportional to 288.78, 398.28 and 201.45 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 398.28 = 201.45 : x
  2. Step 2: Convert to fraction form
    288.78/398.28 = 201.45/x
  3. Step 3: Cross multiply
    288.78x = 398.28 × 201.45
  4. Step 4: Simplify right side
    288.78x = 80,233.51
  5. Step 5: Solve for x
    x = 80,233.51/288.78
  6. Step 6: Final answer
    x = 277.84

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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.