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Finding the Fourth Proportional to 392.72, 588.74 and 262.71

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Solution

The fourth proportional to 392.72, 588.74 and 262.71 is: 393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 588.74 = 262.71 : x
  2. Step 2: Convert to fraction form
    392.72/588.74 = 262.71/x
  3. Step 3: Cross multiply
    392.72x = 588.74 × 262.71
  4. Step 4: Simplify right side
    392.72x = 154,666.57
  5. Step 5: Solve for x
    x = 154,666.57/392.72
  6. Step 6: Final answer
    x = 393.84

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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.