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Finding the Fourth Proportional to 392.49, 588.96 and 176.09

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Solution

The fourth proportional to 392.49, 588.96 and 176.09 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 588.96 = 176.09 : x
  2. Step 2: Convert to fraction form
    392.49/588.96 = 176.09/x
  3. Step 3: Cross multiply
    392.49x = 588.96 × 176.09
  4. Step 4: Simplify right side
    392.49x = 103,707.02
  5. Step 5: Solve for x
    x = 103,707.02/392.49
  6. Step 6: Final answer
    x = 264.23

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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.