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Finding the Fourth Proportional to 392.92, 589.64 and 197.98

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Solution

The fourth proportional to 392.92, 589.64 and 197.98 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 589.64 = 197.98 : x
  2. Step 2: Convert to fraction form
    392.92/589.64 = 197.98/x
  3. Step 3: Cross multiply
    392.92x = 589.64 × 197.98
  4. Step 4: Simplify right side
    392.92x = 116,734.46
  5. Step 5: Solve for x
    x = 116,734.46/392.92
  6. Step 6: Final answer
    x = 297.10

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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.