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Finding the Fourth Proportional to 349.50, 482.10 and 231.60

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Solution

The fourth proportional to 349.50, 482.10 and 231.60 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 482.10 = 231.60 : x
  2. Step 2: Convert to fraction form
    349.50/482.10 = 231.60/x
  3. Step 3: Cross multiply
    349.50x = 482.10 × 231.60
  4. Step 4: Simplify right side
    349.50x = 111,654.36
  5. Step 5: Solve for x
    x = 111,654.36/349.50
  6. Step 6: Final answer
    x = 319.47

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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.