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Finding the Fourth Proportional to 412.53, 618.89 and 230.04

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Solution

The fourth proportional to 412.53, 618.89 and 230.04 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 618.89 = 230.04 : x
  2. Step 2: Convert to fraction form
    412.53/618.89 = 230.04/x
  3. Step 3: Cross multiply
    412.53x = 618.89 × 230.04
  4. Step 4: Simplify right side
    412.53x = 142,369.60
  5. Step 5: Solve for x
    x = 142,369.60/412.53
  6. Step 6: Final answer
    x = 345.12

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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.