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Finding the Fourth Proportional to 631.27, 947.13 and 323.27

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Solution

The fourth proportional to 631.27, 947.13 and 323.27 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.27 : 947.13 = 323.27 : x
  2. Step 2: Convert to fraction form
    631.27/947.13 = 323.27/x
  3. Step 3: Cross multiply
    631.27x = 947.13 × 323.27
  4. Step 4: Simplify right side
    631.27x = 306,175.02
  5. Step 5: Solve for x
    x = 306,175.02/631.27
  6. Step 6: Final answer
    x = 485.02

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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.