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Finding the Fourth Proportional to 427.06, 640.73 and 210.49

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Solution

The fourth proportional to 427.06, 640.73 and 210.49 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.06 : 640.73 = 210.49 : x
  2. Step 2: Convert to fraction form
    427.06/640.73 = 210.49/x
  3. Step 3: Cross multiply
    427.06x = 640.73 × 210.49
  4. Step 4: Simplify right side
    427.06x = 134,863.00
  5. Step 5: Solve for x
    x = 134,863.00/427.06
  6. Step 6: Final answer
    x = 315.79

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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.