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Finding the Fourth Proportional to 631.44, 945.95 and 494.15

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Solution

The fourth proportional to 631.44, 945.95 and 494.15 is: 740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.44 : 945.95 = 494.15 : x
  2. Step 2: Convert to fraction form
    631.44/945.95 = 494.15/x
  3. Step 3: Cross multiply
    631.44x = 945.95 × 494.15
  4. Step 4: Simplify right side
    631.44x = 467,433.99
  5. Step 5: Solve for x
    x = 467,433.99/631.44
  6. Step 6: Final answer
    x = 740.27

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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.