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Finding the Fourth Proportional to 392.55, 588.81 and 176.28

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Solution

The fourth proportional to 392.55, 588.81 and 176.28 is: 264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.55 : 588.81 = 176.28 : x
  2. Step 2: Convert to fraction form
    392.55/588.81 = 176.28/x
  3. Step 3: Cross multiply
    392.55x = 588.81 × 176.28
  4. Step 4: Simplify right side
    392.55x = 103,795.43
  5. Step 5: Solve for x
    x = 103,795.43/392.55
  6. Step 6: Final answer
    x = 264.41

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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.