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Finding the Fourth Proportional to 360.23, 539.89 and 230.18

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Solution

The fourth proportional to 360.23, 539.89 and 230.18 is: 344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 539.89 = 230.18 : x
  2. Step 2: Convert to fraction form
    360.23/539.89 = 230.18/x
  3. Step 3: Cross multiply
    360.23x = 539.89 × 230.18
  4. Step 4: Simplify right side
    360.23x = 124,272.65
  5. Step 5: Solve for x
    x = 124,272.65/360.23
  6. Step 6: Final answer
    x = 344.98

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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.