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Finding the Fourth Proportional to 309.31, 462.84 and 266.48

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Solution

The fourth proportional to 309.31, 462.84 and 266.48 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 462.84 = 266.48 : x
  2. Step 2: Convert to fraction form
    309.31/462.84 = 266.48/x
  3. Step 3: Cross multiply
    309.31x = 462.84 × 266.48
  4. Step 4: Simplify right side
    309.31x = 123,338.76
  5. Step 5: Solve for x
    x = 123,338.76/309.31
  6. Step 6: Final answer
    x = 398.76

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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.