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Finding the Fourth Proportional to 388.48, 536.16 and 231.12

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Solution

The fourth proportional to 388.48, 536.16 and 231.12 is: 318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.48 : 536.16 = 231.12 : x
  2. Step 2: Convert to fraction form
    388.48/536.16 = 231.12/x
  3. Step 3: Cross multiply
    388.48x = 536.16 × 231.12
  4. Step 4: Simplify right side
    388.48x = 123,917.30
  5. Step 5: Solve for x
    x = 123,917.30/388.48
  6. Step 6: Final answer
    x = 318.98

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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.