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Finding the Fourth Proportional to 412.50, 568.62 and 363.09

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Solution

The fourth proportional to 412.50, 568.62 and 363.09 is: 500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.50 : 568.62 = 363.09 : x
  2. Step 2: Convert to fraction form
    412.50/568.62 = 363.09/x
  3. Step 3: Cross multiply
    412.50x = 568.62 × 363.09
  4. Step 4: Simplify right side
    412.50x = 206,460.24
  5. Step 5: Solve for x
    x = 206,460.24/412.50
  6. Step 6: Final answer
    x = 500.51

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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.