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Finding the Fourth Proportional to 631.41, 947.31 and 306.73

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Solution

The fourth proportional to 631.41, 947.31 and 306.73 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 947.31 = 306.73 : x
  2. Step 2: Convert to fraction form
    631.41/947.31 = 306.73/x
  3. Step 3: Cross multiply
    631.41x = 947.31 × 306.73
  4. Step 4: Simplify right side
    631.41x = 290,568.40
  5. Step 5: Solve for x
    x = 290,568.40/631.41
  6. Step 6: Final answer
    x = 460.19

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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.