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Finding the Fourth Proportional to 539.14, 807.09 and 382.41

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Solution

The fourth proportional to 539.14, 807.09 and 382.41 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 807.09 = 382.41 : x
  2. Step 2: Convert to fraction form
    539.14/807.09 = 382.41/x
  3. Step 3: Cross multiply
    539.14x = 807.09 × 382.41
  4. Step 4: Simplify right side
    539.14x = 308,639.29
  5. Step 5: Solve for x
    x = 308,639.29/539.14
  6. Step 6: Final answer
    x = 572.47

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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.