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Finding the Fourth Proportional to 584.57, 806.91 and 388.14

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Solution

The fourth proportional to 584.57, 806.91 and 388.14 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.57 : 806.91 = 388.14 : x
  2. Step 2: Convert to fraction form
    584.57/806.91 = 388.14/x
  3. Step 3: Cross multiply
    584.57x = 806.91 × 388.14
  4. Step 4: Simplify right side
    584.57x = 313,194.05
  5. Step 5: Solve for x
    x = 313,194.05/584.57
  6. Step 6: Final answer
    x = 535.77

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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.