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Finding the Fourth Proportional to 392.23, 587.74 and 238.13

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Solution

The fourth proportional to 392.23, 587.74 and 238.13 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.23 : 587.74 = 238.13 : x
  2. Step 2: Convert to fraction form
    392.23/587.74 = 238.13/x
  3. Step 3: Cross multiply
    392.23x = 587.74 × 238.13
  4. Step 4: Simplify right side
    392.23x = 139,958.53
  5. Step 5: Solve for x
    x = 139,958.53/392.23
  6. Step 6: Final answer
    x = 356.83

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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.