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Finding the Fourth Proportional to 260.58, 389 and 252.02

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Solution

The fourth proportional to 260.58, 389 and 252.02 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 389 = 252.02 : x
  2. Step 2: Convert to fraction form
    260.58/389 = 252.02/x
  3. Step 3: Cross multiply
    260.58x = 389 × 252.02
  4. Step 4: Simplify right side
    260.58x = 98,035.78
  5. Step 5: Solve for x
    x = 98,035.78/260.58
  6. Step 6: Final answer
    x = 376.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.