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Finding the Fourth Proportional to 319.48, 478.80 and 231.92

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Solution

The fourth proportional to 319.48, 478.80 and 231.92 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.80 = 231.92 : x
  2. Step 2: Convert to fraction form
    319.48/478.80 = 231.92/x
  3. Step 3: Cross multiply
    319.48x = 478.80 × 231.92
  4. Step 4: Simplify right side
    319.48x = 111,042.14
  5. Step 5: Solve for x
    x = 111,042.14/319.48
  6. Step 6: Final answer
    x = 347.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.