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Finding the Fourth Proportional to 304.31, 456.33 and 150.29

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Solution

The fourth proportional to 304.31, 456.33 and 150.29 is: 225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 456.33 = 150.29 : x
  2. Step 2: Convert to fraction form
    304.31/456.33 = 150.29/x
  3. Step 3: Cross multiply
    304.31x = 456.33 × 150.29
  4. Step 4: Simplify right side
    304.31x = 68,579.55
  5. Step 5: Solve for x
    x = 68,579.55/304.31
  6. Step 6: Final answer
    x = 225.36

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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.