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Finding the Fourth Proportional to 313.20, 431.73 and 230.31

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Solution

The fourth proportional to 313.20, 431.73 and 230.31 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 431.73 = 230.31 : x
  2. Step 2: Convert to fraction form
    313.20/431.73 = 230.31/x
  3. Step 3: Cross multiply
    313.20x = 431.73 × 230.31
  4. Step 4: Simplify right side
    313.20x = 99,431.74
  5. Step 5: Solve for x
    x = 99,431.74/313.20
  6. Step 6: Final answer
    x = 317.47

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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.