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Finding the Fourth Proportional to 259.96, 391.84 and 256.31

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Solution

The fourth proportional to 259.96, 391.84 and 256.31 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 391.84 = 256.31 : x
  2. Step 2: Convert to fraction form
    259.96/391.84 = 256.31/x
  3. Step 3: Cross multiply
    259.96x = 391.84 × 256.31
  4. Step 4: Simplify right side
    259.96x = 100,432.51
  5. Step 5: Solve for x
    x = 100,432.51/259.96
  6. Step 6: Final answer
    x = 386.35

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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.