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Finding the Fourth Proportional to 584.29, 806.75 and 388.23

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Solution

The fourth proportional to 584.29, 806.75 and 388.23 is: 536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 806.75 = 388.23 : x
  2. Step 2: Convert to fraction form
    584.29/806.75 = 388.23/x
  3. Step 3: Cross multiply
    584.29x = 806.75 × 388.23
  4. Step 4: Simplify right side
    584.29x = 313,204.55
  5. Step 5: Solve for x
    x = 313,204.55/584.29
  6. Step 6: Final answer
    x = 536.04

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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.