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Finding the Fourth Proportional to 426.20, 635.75 and 385.16

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Solution

The fourth proportional to 426.20, 635.75 and 385.16 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.20 : 635.75 = 385.16 : x
  2. Step 2: Convert to fraction form
    426.20/635.75 = 385.16/x
  3. Step 3: Cross multiply
    426.20x = 635.75 × 385.16
  4. Step 4: Simplify right side
    426.20x = 244,861.81
  5. Step 5: Solve for x
    x = 244,861.81/426.20
  6. Step 6: Final answer
    x = 574.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.