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Finding the Fourth Proportional to 631.09, 945.99 and 338.41

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Solution

The fourth proportional to 631.09, 945.99 and 338.41 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.09 : 945.99 = 338.41 : x
  2. Step 2: Convert to fraction form
    631.09/945.99 = 338.41/x
  3. Step 3: Cross multiply
    631.09x = 945.99 × 338.41
  4. Step 4: Simplify right side
    631.09x = 320,132.48
  5. Step 5: Solve for x
    x = 320,132.48/631.09
  6. Step 6: Final answer
    x = 507.27

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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.