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Finding the Fourth Proportional to 537.54, 806.42 and 208.47

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Solution

The fourth proportional to 537.54, 806.42 and 208.47 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.54 : 806.42 = 208.47 : x
  2. Step 2: Convert to fraction form
    537.54/806.42 = 208.47/x
  3. Step 3: Cross multiply
    537.54x = 806.42 × 208.47
  4. Step 4: Simplify right side
    537.54x = 168,114.38
  5. Step 5: Solve for x
    x = 168,114.38/537.54
  6. Step 6: Final answer
    x = 312.75

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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.