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Finding the Fourth Proportional to 539.06, 807.98 and 385.16

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Solution

The fourth proportional to 539.06, 807.98 and 385.16 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 807.98 = 385.16 : x
  2. Step 2: Convert to fraction form
    539.06/807.98 = 385.16/x
  3. Step 3: Cross multiply
    539.06x = 807.98 × 385.16
  4. Step 4: Simplify right side
    539.06x = 311,195.61
  5. Step 5: Solve for x
    x = 311,195.61/539.06
  6. Step 6: Final answer
    x = 577.30

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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.