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Finding the Fourth Proportional to 420.56, 631.41 and 215.27

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Solution

The fourth proportional to 420.56, 631.41 and 215.27 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 631.41 = 215.27 : x
  2. Step 2: Convert to fraction form
    420.56/631.41 = 215.27/x
  3. Step 3: Cross multiply
    420.56x = 631.41 × 215.27
  4. Step 4: Simplify right side
    420.56x = 135,923.63
  5. Step 5: Solve for x
    x = 135,923.63/420.56
  6. Step 6: Final answer
    x = 323.20

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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.