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Finding the Fourth Proportional to 392.22, 584.10 and 359.82

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Solution

The fourth proportional to 392.22, 584.10 and 359.82 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 584.10 = 359.82 : x
  2. Step 2: Convert to fraction form
    392.22/584.10 = 359.82/x
  3. Step 3: Cross multiply
    392.22x = 584.10 × 359.82
  4. Step 4: Simplify right side
    392.22x = 210,170.86
  5. Step 5: Solve for x
    x = 210,170.86/392.22
  6. Step 6: Final answer
    x = 535.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.