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Finding the Fourth Proportional to 486.30, 729.46 and 197.68

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Solution

The fourth proportional to 486.30, 729.46 and 197.68 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 729.46 = 197.68 : x
  2. Step 2: Convert to fraction form
    486.30/729.46 = 197.68/x
  3. Step 3: Cross multiply
    486.30x = 729.46 × 197.68
  4. Step 4: Simplify right side
    486.30x = 144,199.65
  5. Step 5: Solve for x
    x = 144,199.65/486.30
  6. Step 6: Final answer
    x = 296.52

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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.