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Finding the Fourth Proportional to 584.46, 806.29 and 335.72

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Solution

The fourth proportional to 584.46, 806.29 and 335.72 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 806.29 = 335.72 : x
  2. Step 2: Convert to fraction form
    584.46/806.29 = 335.72/x
  3. Step 3: Cross multiply
    584.46x = 806.29 × 335.72
  4. Step 4: Simplify right side
    584.46x = 270,687.68
  5. Step 5: Solve for x
    x = 270,687.68/584.46
  6. Step 6: Final answer
    x = 463.14

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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.