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Finding the Fourth Proportional to 319.55, 440.54 and 231.00

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Solution

The fourth proportional to 319.55, 440.54 and 231.00 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 440.54 = 231.00 : x
  2. Step 2: Convert to fraction form
    319.55/440.54 = 231.00/x
  3. Step 3: Cross multiply
    319.55x = 440.54 × 231.00
  4. Step 4: Simplify right side
    319.55x = 101,765.28
  5. Step 5: Solve for x
    x = 101,765.28/319.55
  6. Step 6: Final answer
    x = 318.47

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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.