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Finding the Fourth Proportional to 329.99, 455.25 and 231.81

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Solution

The fourth proportional to 329.99, 455.25 and 231.81 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.99 : 455.25 = 231.81 : x
  2. Step 2: Convert to fraction form
    329.99/455.25 = 231.81/x
  3. Step 3: Cross multiply
    329.99x = 455.25 × 231.81
  4. Step 4: Simplify right side
    329.99x = 105,531.50
  5. Step 5: Solve for x
    x = 105,531.50/329.99
  6. Step 6: Final answer
    x = 319.81

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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.