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Finding the Fourth Proportional to 537.04, 806.04 and 382.96

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Solution

The fourth proportional to 537.04, 806.04 and 382.96 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.04 : 806.04 = 382.96 : x
  2. Step 2: Convert to fraction form
    537.04/806.04 = 382.96/x
  3. Step 3: Cross multiply
    537.04x = 806.04 × 382.96
  4. Step 4: Simplify right side
    537.04x = 308,681.08
  5. Step 5: Solve for x
    x = 308,681.08/537.04
  6. Step 6: Final answer
    x = 574.78

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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.