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Finding the Fourth Proportional to 301.60, 415.44 and 232.48

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Solution

The fourth proportional to 301.60, 415.44 and 232.48 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 415.44 = 232.48 : x
  2. Step 2: Convert to fraction form
    301.60/415.44 = 232.48/x
  3. Step 3: Cross multiply
    301.60x = 415.44 × 232.48
  4. Step 4: Simplify right side
    301.60x = 96,581.49
  5. Step 5: Solve for x
    x = 96,581.49/301.60
  6. Step 6: Final answer
    x = 320.23

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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.