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Finding the Fourth Proportional to 618.38, 926.95 and 344.60

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Solution

The fourth proportional to 618.38, 926.95 and 344.60 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.38 : 926.95 = 344.60 : x
  2. Step 2: Convert to fraction form
    618.38/926.95 = 344.60/x
  3. Step 3: Cross multiply
    618.38x = 926.95 × 344.60
  4. Step 4: Simplify right side
    618.38x = 319,426.97
  5. Step 5: Solve for x
    x = 319,426.97/618.38
  6. Step 6: Final answer
    x = 516.55

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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.