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Finding the Fourth Proportional to 304.14, 420.08 and 230.43

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Solution

The fourth proportional to 304.14, 420.08 and 230.43 is: 318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.14 : 420.08 = 230.43 : x
  2. Step 2: Convert to fraction form
    304.14/420.08 = 230.43/x
  3. Step 3: Cross multiply
    304.14x = 420.08 × 230.43
  4. Step 4: Simplify right side
    304.14x = 96,799.03
  5. Step 5: Solve for x
    x = 96,799.03/304.14
  6. Step 6: Final answer
    x = 318.27

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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.