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Finding the Fourth Proportional to 360.46, 537.08 and 344.73

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Solution

The fourth proportional to 360.46, 537.08 and 344.73 is: 513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.46 : 537.08 = 344.73 : x
  2. Step 2: Convert to fraction form
    360.46/537.08 = 344.73/x
  3. Step 3: Cross multiply
    360.46x = 537.08 × 344.73
  4. Step 4: Simplify right side
    360.46x = 185,147.59
  5. Step 5: Solve for x
    x = 185,147.59/360.46
  6. Step 6: Final answer
    x = 513.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.