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Finding the Fourth Proportional to 392.34, 588.60 and 175.80

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Solution

The fourth proportional to 392.34, 588.60 and 175.80 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 588.60 = 175.80 : x
  2. Step 2: Convert to fraction form
    392.34/588.60 = 175.80/x
  3. Step 3: Cross multiply
    392.34x = 588.60 × 175.80
  4. Step 4: Simplify right side
    392.34x = 103,475.88
  5. Step 5: Solve for x
    x = 103,475.88/392.34
  6. Step 6: Final answer
    x = 263.74

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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.