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Finding the Fourth Proportional to 631.31, 946.69 and 338.73

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Solution

The fourth proportional to 631.31, 946.69 and 338.73 is: 507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 946.69 = 338.73 : x
  2. Step 2: Convert to fraction form
    631.31/946.69 = 338.73/x
  3. Step 3: Cross multiply
    631.31x = 946.69 × 338.73
  4. Step 4: Simplify right side
    631.31x = 320,669.81
  5. Step 5: Solve for x
    x = 320,669.81/631.31
  6. Step 6: Final answer
    x = 507.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.