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Finding the Fourth Proportional to 260.35, 390.53 and 77.75

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Solution

The fourth proportional to 260.35, 390.53 and 77.75 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.35 : 390.53 = 77.75 : x
  2. Step 2: Convert to fraction form
    260.35/390.53 = 77.75/x
  3. Step 3: Cross multiply
    260.35x = 390.53 × 77.75
  4. Step 4: Simplify right side
    260.35x = 30,363.32
  5. Step 5: Solve for x
    x = 30,363.32/260.35
  6. Step 6: Final answer
    x = 116.63

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Why These Related Problems?

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