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Finding the Fourth Proportional to 537.63, 806.85 and 354.96

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Solution

The fourth proportional to 537.63, 806.85 and 354.96 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 806.85 = 354.96 : x
  2. Step 2: Convert to fraction form
    537.63/806.85 = 354.96/x
  3. Step 3: Cross multiply
    537.63x = 806.85 × 354.96
  4. Step 4: Simplify right side
    537.63x = 286,399.48
  5. Step 5: Solve for x
    x = 286,399.48/537.63
  6. Step 6: Final answer
    x = 532.71

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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.