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Finding the Fourth Proportional to 323.41, 486.94 and 285.14

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Solution

The fourth proportional to 323.41, 486.94 and 285.14 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.41 : 486.94 = 285.14 : x
  2. Step 2: Convert to fraction form
    323.41/486.94 = 285.14/x
  3. Step 3: Cross multiply
    323.41x = 486.94 × 285.14
  4. Step 4: Simplify right side
    323.41x = 138,842.92
  5. Step 5: Solve for x
    x = 138,842.92/323.41
  6. Step 6: Final answer
    x = 429.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.