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Finding the Fourth Proportional to 445.31, 614.62 and 362.22

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Solution

The fourth proportional to 445.31, 614.62 and 362.22 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.31 : 614.62 = 362.22 : x
  2. Step 2: Convert to fraction form
    445.31/614.62 = 362.22/x
  3. Step 3: Cross multiply
    445.31x = 614.62 × 362.22
  4. Step 4: Simplify right side
    445.31x = 222,627.66
  5. Step 5: Solve for x
    x = 222,627.66/445.31
  6. Step 6: Final answer
    x = 499.94

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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.