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Finding the Fourth Proportional to 539.53, 809.60 and 377.34

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Solution

The fourth proportional to 539.53, 809.60 and 377.34 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.53 : 809.60 = 377.34 : x
  2. Step 2: Convert to fraction form
    539.53/809.60 = 377.34/x
  3. Step 3: Cross multiply
    539.53x = 809.60 × 377.34
  4. Step 4: Simplify right side
    539.53x = 305,494.46
  5. Step 5: Solve for x
    x = 305,494.46/539.53
  6. Step 6: Final answer
    x = 566.22

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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.