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Finding the Fourth Proportional to 309.58, 464.37 and 248.41

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Solution

The fourth proportional to 309.58, 464.37 and 248.41 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.58 : 464.37 = 248.41 : x
  2. Step 2: Convert to fraction form
    309.58/464.37 = 248.41/x
  3. Step 3: Cross multiply
    309.58x = 464.37 × 248.41
  4. Step 4: Simplify right side
    309.58x = 115,354.15
  5. Step 5: Solve for x
    x = 115,354.15/309.58
  6. Step 6: Final answer
    x = 372.62

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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.