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Finding the Fourth Proportional to 388.96, 584.24 and 366.28

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Solution

The fourth proportional to 388.96, 584.24 and 366.28 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.96 : 584.24 = 366.28 : x
  2. Step 2: Convert to fraction form
    388.96/584.24 = 366.28/x
  3. Step 3: Cross multiply
    388.96x = 584.24 × 366.28
  4. Step 4: Simplify right side
    388.96x = 213,995.43
  5. Step 5: Solve for x
    x = 213,995.43/388.96
  6. Step 6: Final answer
    x = 550.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.