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Finding the Fourth Proportional to 584.20, 806.10 and 351.28

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Solution

The fourth proportional to 584.20, 806.10 and 351.28 is: 484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 806.10 = 351.28 : x
  2. Step 2: Convert to fraction form
    584.20/806.10 = 351.28/x
  3. Step 3: Cross multiply
    584.20x = 806.10 × 351.28
  4. Step 4: Simplify right side
    584.20x = 283,166.81
  5. Step 5: Solve for x
    x = 283,166.81/584.20
  6. Step 6: Final answer
    x = 484.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.