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Finding the Fourth Proportional to 631.73, 947.36 and 241.62

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Solution

The fourth proportional to 631.73, 947.36 and 241.62 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.73 : 947.36 = 241.62 : x
  2. Step 2: Convert to fraction form
    631.73/947.36 = 241.62/x
  3. Step 3: Cross multiply
    631.73x = 947.36 × 241.62
  4. Step 4: Simplify right side
    631.73x = 228,899.92
  5. Step 5: Solve for x
    x = 228,899.92/631.73
  6. Step 6: Final answer
    x = 362.34

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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.