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Finding the Fourth Proportional to 631.44, 947.16 and 342.96

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Solution

The fourth proportional to 631.44, 947.16 and 342.96 is: 514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.44 : 947.16 = 342.96 : x
  2. Step 2: Convert to fraction form
    631.44/947.16 = 342.96/x
  3. Step 3: Cross multiply
    631.44x = 947.16 × 342.96
  4. Step 4: Simplify right side
    631.44x = 324,837.99
  5. Step 5: Solve for x
    x = 324,837.99/631.44
  6. Step 6: Final answer
    x = 514.44

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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.