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Finding the Fourth Proportional to 486.10, 729.14 and 271.05

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Solution

The fourth proportional to 486.10, 729.14 and 271.05 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.10 : 729.14 = 271.05 : x
  2. Step 2: Convert to fraction form
    486.10/729.14 = 271.05/x
  3. Step 3: Cross multiply
    486.10x = 729.14 × 271.05
  4. Step 4: Simplify right side
    486.10x = 197,632.25
  5. Step 5: Solve for x
    x = 197,632.25/486.10
  6. Step 6: Final answer
    x = 406.56

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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.