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Finding the Fourth Proportional to 631.17, 945.81 and 457.41

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Solution

The fourth proportional to 631.17, 945.81 and 457.41 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.17 : 945.81 = 457.41 : x
  2. Step 2: Convert to fraction form
    631.17/945.81 = 457.41/x
  3. Step 3: Cross multiply
    631.17x = 945.81 × 457.41
  4. Step 4: Simplify right side
    631.17x = 432,622.95
  5. Step 5: Solve for x
    x = 432,622.95/631.17
  6. Step 6: Final answer
    x = 685.43

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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.