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Finding the Fourth Proportional to 392.54, 588.65 and 176.09

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Solution

The fourth proportional to 392.54, 588.65 and 176.09 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 588.65 = 176.09 : x
  2. Step 2: Convert to fraction form
    392.54/588.65 = 176.09/x
  3. Step 3: Cross multiply
    392.54x = 588.65 × 176.09
  4. Step 4: Simplify right side
    392.54x = 103,651.55
  5. Step 5: Solve for x
    x = 103,651.55/392.54
  6. Step 6: Final answer
    x = 264.06

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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.