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Finding the Fourth Proportional to 392.81, 588.85 and 176.27

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Solution

The fourth proportional to 392.81, 588.85 and 176.27 is: 264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 588.85 = 176.27 : x
  2. Step 2: Convert to fraction form
    392.81/588.85 = 176.27/x
  3. Step 3: Cross multiply
    392.81x = 588.85 × 176.27
  4. Step 4: Simplify right side
    392.81x = 103,796.59
  5. Step 5: Solve for x
    x = 103,796.59/392.81
  6. Step 6: Final answer
    x = 264.24

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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.