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Finding the Fourth Proportional to 537.17, 806.63 and 333.04

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Solution

The fourth proportional to 537.17, 806.63 and 333.04 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.17 : 806.63 = 333.04 : x
  2. Step 2: Convert to fraction form
    537.17/806.63 = 333.04/x
  3. Step 3: Cross multiply
    537.17x = 806.63 × 333.04
  4. Step 4: Simplify right side
    537.17x = 268,640.06
  5. Step 5: Solve for x
    x = 268,640.06/537.17
  6. Step 6: Final answer
    x = 500.10

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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.