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Finding the Fourth Proportional to 392.34, 587.82 and 262.02

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Solution

The fourth proportional to 392.34, 587.82 and 262.02 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 587.82 = 262.02 : x
  2. Step 2: Convert to fraction form
    392.34/587.82 = 262.02/x
  3. Step 3: Cross multiply
    392.34x = 587.82 × 262.02
  4. Step 4: Simplify right side
    392.34x = 154,020.60
  5. Step 5: Solve for x
    x = 154,020.60/392.34
  6. Step 6: Final answer
    x = 392.57

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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.