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Finding the Fourth Proportional to 304.67, 456.43 and 150.41

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Solution

The fourth proportional to 304.67, 456.43 and 150.41 is: 225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.67 : 456.43 = 150.41 : x
  2. Step 2: Convert to fraction form
    304.67/456.43 = 150.41/x
  3. Step 3: Cross multiply
    304.67x = 456.43 × 150.41
  4. Step 4: Simplify right side
    304.67x = 68,652.26
  5. Step 5: Solve for x
    x = 68,652.26/304.67
  6. Step 6: Final answer
    x = 225.34

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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.