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Finding the Fourth Proportional to 289.88, 434.28 and 198.64

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Solution

The fourth proportional to 289.88, 434.28 and 198.64 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 434.28 = 198.64 : x
  2. Step 2: Convert to fraction form
    289.88/434.28 = 198.64/x
  3. Step 3: Cross multiply
    289.88x = 434.28 × 198.64
  4. Step 4: Simplify right side
    289.88x = 86,265.38
  5. Step 5: Solve for x
    x = 86,265.38/289.88
  6. Step 6: Final answer
    x = 297.59

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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.