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Finding the Fourth Proportional to 537.78, 806.81 and 277.70

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Solution

The fourth proportional to 537.78, 806.81 and 277.70 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 806.81 = 277.70 : x
  2. Step 2: Convert to fraction form
    537.78/806.81 = 277.70/x
  3. Step 3: Cross multiply
    537.78x = 806.81 × 277.70
  4. Step 4: Simplify right side
    537.78x = 224,045.71
  5. Step 5: Solve for x
    x = 224,045.71/537.78
  6. Step 6: Final answer
    x = 416.61

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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.