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Finding the Fourth Proportional to 423.30, 635.28 and 206.76

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Solution

The fourth proportional to 423.30, 635.28 and 206.76 is: 310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 635.28 = 206.76 : x
  2. Step 2: Convert to fraction form
    423.30/635.28 = 206.76/x
  3. Step 3: Cross multiply
    423.30x = 635.28 × 206.76
  4. Step 4: Simplify right side
    423.30x = 131,350.49
  5. Step 5: Solve for x
    x = 131,350.49/423.30
  6. Step 6: Final answer
    x = 310.30

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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.