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Finding the Fourth Proportional to 584.71, 806.64 and 335.97

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Solution

The fourth proportional to 584.71, 806.64 and 335.97 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.71 : 806.64 = 335.97 : x
  2. Step 2: Convert to fraction form
    584.71/806.64 = 335.97/x
  3. Step 3: Cross multiply
    584.71x = 806.64 × 335.97
  4. Step 4: Simplify right side
    584.71x = 271,006.84
  5. Step 5: Solve for x
    x = 271,006.84/584.71
  6. Step 6: Final answer
    x = 463.49

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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.