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Finding the Fourth Proportional to 500.03, 748.83 and 412.82

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Solution

The fourth proportional to 500.03, 748.83 and 412.82 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 748.83 = 412.82 : x
  2. Step 2: Convert to fraction form
    500.03/748.83 = 412.82/x
  3. Step 3: Cross multiply
    500.03x = 748.83 × 412.82
  4. Step 4: Simplify right side
    500.03x = 309,132.00
  5. Step 5: Solve for x
    x = 309,132.00/500.03
  6. Step 6: Final answer
    x = 618.23

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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.