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Finding the Fourth Proportional to 539.37, 810.20 and 386.28

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Solution

The fourth proportional to 539.37, 810.20 and 386.28 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.37 : 810.20 = 386.28 : x
  2. Step 2: Convert to fraction form
    539.37/810.20 = 386.28/x
  3. Step 3: Cross multiply
    539.37x = 810.20 × 386.28
  4. Step 4: Simplify right side
    539.37x = 312,960.01
  5. Step 5: Solve for x
    x = 312,960.01/539.37
  6. Step 6: Final answer
    x = 580.24

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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.