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Finding the Fourth Proportional to 393.24, 542.52 and 262.32

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Solution

The fourth proportional to 393.24, 542.52 and 262.32 is: 361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 542.52 = 262.32 : x
  2. Step 2: Convert to fraction form
    393.24/542.52 = 262.32/x
  3. Step 3: Cross multiply
    393.24x = 542.52 × 262.32
  4. Step 4: Simplify right side
    393.24x = 142,313.85
  5. Step 5: Solve for x
    x = 142,313.85/393.24
  6. Step 6: Final answer
    x = 361.90

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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.