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Finding the Fourth Proportional to 631.96, 872.63 and 445.66

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Solution

The fourth proportional to 631.96, 872.63 and 445.66 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.96 : 872.63 = 445.66 : x
  2. Step 2: Convert to fraction form
    631.96/872.63 = 445.66/x
  3. Step 3: Cross multiply
    631.96x = 872.63 × 445.66
  4. Step 4: Simplify right side
    631.96x = 388,890.81
  5. Step 5: Solve for x
    x = 388,890.81/631.96
  6. Step 6: Final answer
    x = 615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.