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Finding the Fourth Proportional to 537.74, 806.85 and 391.63

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Solution

The fourth proportional to 537.74, 806.85 and 391.63 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 806.85 = 391.63 : x
  2. Step 2: Convert to fraction form
    537.74/806.85 = 391.63/x
  3. Step 3: Cross multiply
    537.74x = 806.85 × 391.63
  4. Step 4: Simplify right side
    537.74x = 315,986.67
  5. Step 5: Solve for x
    x = 315,986.67/537.74
  6. Step 6: Final answer
    x = 587.63

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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.