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Finding the Fourth Proportional to 467.02, 699.49 and 363.49

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Solution

The fourth proportional to 467.02, 699.49 and 363.49 is: 544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.02 : 699.49 = 363.49 : x
  2. Step 2: Convert to fraction form
    467.02/699.49 = 363.49/x
  3. Step 3: Cross multiply
    467.02x = 699.49 × 363.49
  4. Step 4: Simplify right side
    467.02x = 254,257.62
  5. Step 5: Solve for x
    x = 254,257.62/467.02
  6. Step 6: Final answer
    x = 544.43

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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.