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Finding the Fourth Proportional to 331.14, 457.07 and 232.93

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Solution

The fourth proportional to 331.14, 457.07 and 232.93 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.14 : 457.07 = 232.93 : x
  2. Step 2: Convert to fraction form
    331.14/457.07 = 232.93/x
  3. Step 3: Cross multiply
    331.14x = 457.07 × 232.93
  4. Step 4: Simplify right side
    331.14x = 106,465.32
  5. Step 5: Solve for x
    x = 106,465.32/331.14
  6. Step 6: Final answer
    x = 321.51

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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.