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Finding the Fourth Proportional to 392.80, 588.24 and 295.60

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Solution

The fourth proportional to 392.80, 588.24 and 295.60 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 588.24 = 295.60 : x
  2. Step 2: Convert to fraction form
    392.80/588.24 = 295.60/x
  3. Step 3: Cross multiply
    392.80x = 588.24 × 295.60
  4. Step 4: Simplify right side
    392.80x = 173,883.74
  5. Step 5: Solve for x
    x = 173,883.74/392.80
  6. Step 6: Final answer
    x = 442.68

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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.