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Finding the Fourth Proportional to 445.50, 614.52 and 361.80

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Solution

The fourth proportional to 445.50, 614.52 and 361.80 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 614.52 = 361.80 : x
  2. Step 2: Convert to fraction form
    445.50/614.52 = 361.80/x
  3. Step 3: Cross multiply
    445.50x = 614.52 × 361.80
  4. Step 4: Simplify right side
    445.50x = 222,333.34
  5. Step 5: Solve for x
    x = 222,333.34/445.50
  6. Step 6: Final answer
    x = 499.06

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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.