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Finding the Fourth Proportional to 392.56, 588.72 and 118.58

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Solution

The fourth proportional to 392.56, 588.72 and 118.58 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.56 : 588.72 = 118.58 : x
  2. Step 2: Convert to fraction form
    392.56/588.72 = 118.58/x
  3. Step 3: Cross multiply
    392.56x = 588.72 × 118.58
  4. Step 4: Simplify right side
    392.56x = 69,810.42
  5. Step 5: Solve for x
    x = 69,810.42/392.56
  6. Step 6: Final answer
    x = 177.83

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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.