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Finding the Fourth Proportional to 631.68, 947.37 and 323.14

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Solution

The fourth proportional to 631.68, 947.37 and 323.14 is: 484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 947.37 = 323.14 : x
  2. Step 2: Convert to fraction form
    631.68/947.37 = 323.14/x
  3. Step 3: Cross multiply
    631.68x = 947.37 × 323.14
  4. Step 4: Simplify right side
    631.68x = 306,133.14
  5. Step 5: Solve for x
    x = 306,133.14/631.68
  6. Step 6: Final answer
    x = 484.63

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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.