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Finding the Fourth Proportional to 331.89, 457.65 and 233.61

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Solution

The fourth proportional to 331.89, 457.65 and 233.61 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 457.65 = 233.61 : x
  2. Step 2: Convert to fraction form
    331.89/457.65 = 233.61/x
  3. Step 3: Cross multiply
    331.89x = 457.65 × 233.61
  4. Step 4: Simplify right side
    331.89x = 106,911.62
  5. Step 5: Solve for x
    x = 106,911.62/331.89
  6. Step 6: Final answer
    x = 322.13

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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.