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Finding the Fourth Proportional to 486.23, 729.32 and 197.87

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Solution

The fourth proportional to 486.23, 729.32 and 197.87 is: 296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.23 : 729.32 = 197.87 : x
  2. Step 2: Convert to fraction form
    486.23/729.32 = 197.87/x
  3. Step 3: Cross multiply
    486.23x = 729.32 × 197.87
  4. Step 4: Simplify right side
    486.23x = 144,310.55
  5. Step 5: Solve for x
    x = 144,310.55/486.23
  6. Step 6: Final answer
    x = 296.79

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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.