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Finding the Fourth Proportional to 486.68, 729.84 and 270.68

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Solution

The fourth proportional to 486.68, 729.84 and 270.68 is: 405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.68 : 729.84 = 270.68 : x
  2. Step 2: Convert to fraction form
    486.68/729.84 = 270.68/x
  3. Step 3: Cross multiply
    486.68x = 729.84 × 270.68
  4. Step 4: Simplify right side
    486.68x = 197,553.09
  5. Step 5: Solve for x
    x = 197,553.09/486.68
  6. Step 6: Final answer
    x = 405.92

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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.