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Finding the Fourth Proportional to 260.47, 390.75 and 77.87

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Solution

The fourth proportional to 260.47, 390.75 and 77.87 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.47 : 390.75 = 77.87 : x
  2. Step 2: Convert to fraction form
    260.47/390.75 = 77.87/x
  3. Step 3: Cross multiply
    260.47x = 390.75 × 77.87
  4. Step 4: Simplify right side
    260.47x = 30,427.70
  5. Step 5: Solve for x
    x = 30,427.70/260.47
  6. Step 6: Final answer
    x = 116.82

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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.