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Finding the Fourth Proportional to 260.36, 390.48 and 77.71

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Solution

The fourth proportional to 260.36, 390.48 and 77.71 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 390.48 = 77.71 : x
  2. Step 2: Convert to fraction form
    260.36/390.48 = 77.71/x
  3. Step 3: Cross multiply
    260.36x = 390.48 × 77.71
  4. Step 4: Simplify right side
    260.36x = 30,344.21
  5. Step 5: Solve for x
    x = 30,344.21/260.36
  6. Step 6: Final answer
    x = 116.55

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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.