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Finding the Fourth Proportional to 260.94, 394.37 and 256.46

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Solution

The fourth proportional to 260.94, 394.37 and 256.46 is: 387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 394.37 = 256.46 : x
  2. Step 2: Convert to fraction form
    260.94/394.37 = 256.46/x
  3. Step 3: Cross multiply
    260.94x = 394.37 × 256.46
  4. Step 4: Simplify right side
    260.94x = 101,140.13
  5. Step 5: Solve for x
    x = 101,140.13/260.94
  6. Step 6: Final answer
    x = 387.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.