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Finding the Fourth Proportional to 299.60, 412.68 and 230.48

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Solution

The fourth proportional to 299.60, 412.68 and 230.48 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 412.68 = 230.48 : x
  2. Step 2: Convert to fraction form
    299.60/412.68 = 230.48/x
  3. Step 3: Cross multiply
    299.60x = 412.68 × 230.48
  4. Step 4: Simplify right side
    299.60x = 95,114.49
  5. Step 5: Solve for x
    x = 95,114.49/299.60
  6. Step 6: Final answer
    x = 317.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.