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Finding the Fourth Proportional to 342.80, 516.18 and 256.73

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Solution

The fourth proportional to 342.80, 516.18 and 256.73 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.80 : 516.18 = 256.73 : x
  2. Step 2: Convert to fraction form
    342.80/516.18 = 256.73/x
  3. Step 3: Cross multiply
    342.80x = 516.18 × 256.73
  4. Step 4: Simplify right side
    342.80x = 132,518.89
  5. Step 5: Solve for x
    x = 132,518.89/342.80
  6. Step 6: Final answer
    x = 386.58

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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.