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Finding the Fourth Proportional to 331.32, 457.38 and 233.16

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Solution

The fourth proportional to 331.32, 457.38 and 233.16 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.32 : 457.38 = 233.16 : x
  2. Step 2: Convert to fraction form
    331.32/457.38 = 233.16/x
  3. Step 3: Cross multiply
    331.32x = 457.38 × 233.16
  4. Step 4: Simplify right side
    331.32x = 106,642.72
  5. Step 5: Solve for x
    x = 106,642.72/331.32
  6. Step 6: Final answer
    x = 321.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.