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Finding the Fourth Proportional to 486.34, 729.51 and 270.34

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Solution

The fourth proportional to 486.34, 729.51 and 270.34 is: 405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.34 : 729.51 = 270.34 : x
  2. Step 2: Convert to fraction form
    486.34/729.51 = 270.34/x
  3. Step 3: Cross multiply
    486.34x = 729.51 × 270.34
  4. Step 4: Simplify right side
    486.34x = 197,215.73
  5. Step 5: Solve for x
    x = 197,215.73/486.34
  6. Step 6: Final answer
    x = 405.51

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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.