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Finding the Fourth Proportional to 390.44, 584.92 and 198.20

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Solution

The fourth proportional to 390.44, 584.92 and 198.20 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 584.92 = 198.20 : x
  2. Step 2: Convert to fraction form
    390.44/584.92 = 198.20/x
  3. Step 3: Cross multiply
    390.44x = 584.92 × 198.20
  4. Step 4: Simplify right side
    390.44x = 115,931.14
  5. Step 5: Solve for x
    x = 115,931.14/390.44
  6. Step 6: Final answer
    x = 296.92

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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.