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Finding the Fourth Proportional to 584.78, 806.98 and 336.09

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Solution

The fourth proportional to 584.78, 806.98 and 336.09 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.78 : 806.98 = 336.09 : x
  2. Step 2: Convert to fraction form
    584.78/806.98 = 336.09/x
  3. Step 3: Cross multiply
    584.78x = 806.98 × 336.09
  4. Step 4: Simplify right side
    584.78x = 271,217.07
  5. Step 5: Solve for x
    x = 271,217.07/584.78
  6. Step 6: Final answer
    x = 463.79

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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.