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Finding the Fourth Proportional to 539.06, 807.57 and 376.38

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Solution

The fourth proportional to 539.06, 807.57 and 376.38 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 807.57 = 376.38 : x
  2. Step 2: Convert to fraction form
    539.06/807.57 = 376.38/x
  3. Step 3: Cross multiply
    539.06x = 807.57 × 376.38
  4. Step 4: Simplify right side
    539.06x = 303,953.20
  5. Step 5: Solve for x
    x = 303,953.20/539.06
  6. Step 6: Final answer
    x = 563.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.