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Finding the Fourth Proportional to 584.75, 806.83 and 388.13

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Solution

The fourth proportional to 584.75, 806.83 and 388.13 is: 535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 806.83 = 388.13 : x
  2. Step 2: Convert to fraction form
    584.75/806.83 = 388.13/x
  3. Step 3: Cross multiply
    584.75x = 806.83 × 388.13
  4. Step 4: Simplify right side
    584.75x = 313,149.92
  5. Step 5: Solve for x
    x = 313,149.92/584.75
  6. Step 6: Final answer
    x = 535.53

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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.