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Finding the Fourth Proportional to 360.35, 539.73 and 309.12

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Solution

The fourth proportional to 360.35, 539.73 and 309.12 is: 462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.35 : 539.73 = 309.12 : x
  2. Step 2: Convert to fraction form
    360.35/539.73 = 309.12/x
  3. Step 3: Cross multiply
    360.35x = 539.73 × 309.12
  4. Step 4: Simplify right side
    360.35x = 166,839.31
  5. Step 5: Solve for x
    x = 166,839.31/360.35
  6. Step 6: Final answer
    x = 462.99

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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.