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Finding the Fourth Proportional to 309.80, 463.30 and 231.77

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Solution

The fourth proportional to 309.80, 463.30 and 231.77 is: 346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 463.30 = 231.77 : x
  2. Step 2: Convert to fraction form
    309.80/463.30 = 231.77/x
  3. Step 3: Cross multiply
    309.80x = 463.30 × 231.77
  4. Step 4: Simplify right side
    309.80x = 107,377.88
  5. Step 5: Solve for x
    x = 107,377.88/309.80
  6. Step 6: Final answer
    x = 346.60

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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.