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Finding the Fourth Proportional to 342.29, 513.42 and 85.79

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Solution

The fourth proportional to 342.29, 513.42 and 85.79 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 513.42 = 85.79 : x
  2. Step 2: Convert to fraction form
    342.29/513.42 = 85.79/x
  3. Step 3: Cross multiply
    342.29x = 513.42 × 85.79
  4. Step 4: Simplify right side
    342.29x = 44,043.73
  5. Step 5: Solve for x
    x = 44,043.73/342.29
  6. Step 6: Final answer
    x = 128.68

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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.