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Finding the Fourth Proportional to 344.92, 516.88 and 259.48

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Solution

The fourth proportional to 344.92, 516.88 and 259.48 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 516.88 = 259.48 : x
  2. Step 2: Convert to fraction form
    344.92/516.88 = 259.48/x
  3. Step 3: Cross multiply
    344.92x = 516.88 × 259.48
  4. Step 4: Simplify right side
    344.92x = 134,120.02
  5. Step 5: Solve for x
    x = 134,120.02/344.92
  6. Step 6: Final answer
    x = 388.84

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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.