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Finding the Fourth Proportional to 260.78, 390.41 and 243.68

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Solution

The fourth proportional to 260.78, 390.41 and 243.68 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 390.41 = 243.68 : x
  2. Step 2: Convert to fraction form
    260.78/390.41 = 243.68/x
  3. Step 3: Cross multiply
    260.78x = 390.41 × 243.68
  4. Step 4: Simplify right side
    260.78x = 95,133.89
  5. Step 5: Solve for x
    x = 95,133.89/260.78
  6. Step 6: Final answer
    x = 364.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.