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Finding the Fourth Proportional to 584.14, 806.16 and 351.26

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Solution

The fourth proportional to 584.14, 806.16 and 351.26 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 806.16 = 351.26 : x
  2. Step 2: Convert to fraction form
    584.14/806.16 = 351.26/x
  3. Step 3: Cross multiply
    584.14x = 806.16 × 351.26
  4. Step 4: Simplify right side
    584.14x = 283,171.76
  5. Step 5: Solve for x
    x = 283,171.76/584.14
  6. Step 6: Final answer
    x = 484.77

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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.