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Finding the Fourth Proportional to 392.54, 588.60 and 187.01

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Solution

The fourth proportional to 392.54, 588.60 and 187.01 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 588.60 = 187.01 : x
  2. Step 2: Convert to fraction form
    392.54/588.60 = 187.01/x
  3. Step 3: Cross multiply
    392.54x = 588.60 × 187.01
  4. Step 4: Simplify right side
    392.54x = 110,071.61
  5. Step 5: Solve for x
    x = 110,071.61/392.54
  6. Step 6: Final answer
    x = 280.41

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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.