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Finding the Fourth Proportional to 392.94, 588.98 and 184.56

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Solution

The fourth proportional to 392.94, 588.98 and 184.56 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 588.98 = 184.56 : x
  2. Step 2: Convert to fraction form
    392.94/588.98 = 184.56/x
  3. Step 3: Cross multiply
    392.94x = 588.98 × 184.56
  4. Step 4: Simplify right side
    392.94x = 108,702.15
  5. Step 5: Solve for x
    x = 108,702.15/392.94
  6. Step 6: Final answer
    x = 276.64

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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.