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Finding the Fourth Proportional to 486.41, 729.75 and 270.14

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Solution

The fourth proportional to 486.41, 729.75 and 270.14 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.41 : 729.75 = 270.14 : x
  2. Step 2: Convert to fraction form
    486.41/729.75 = 270.14/x
  3. Step 3: Cross multiply
    486.41x = 729.75 × 270.14
  4. Step 4: Simplify right side
    486.41x = 197,134.67
  5. Step 5: Solve for x
    x = 197,134.67/486.41
  6. Step 6: Final answer
    x = 405.28

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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.