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Finding the Fourth Proportional to 500.22, 751.23 and 409.10

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Solution

The fourth proportional to 500.22, 751.23 and 409.10 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 751.23 = 409.10 : x
  2. Step 2: Convert to fraction form
    500.22/751.23 = 409.10/x
  3. Step 3: Cross multiply
    500.22x = 751.23 × 409.10
  4. Step 4: Simplify right side
    500.22x = 307,324.44
  5. Step 5: Solve for x
    x = 307,324.44/500.22
  6. Step 6: Final answer
    x = 614.38

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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.