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Finding the Fourth Proportional to 309.13, 463.29 and 231.48

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Solution

The fourth proportional to 309.13, 463.29 and 231.48 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 463.29 = 231.48 : x
  2. Step 2: Convert to fraction form
    309.13/463.29 = 231.48/x
  3. Step 3: Cross multiply
    309.13x = 463.29 × 231.48
  4. Step 4: Simplify right side
    309.13x = 107,243.82
  5. Step 5: Solve for x
    x = 107,243.82/309.13
  6. Step 6: Final answer
    x = 346.92

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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.