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Finding the Fourth Proportional to 500.50, 750.78 and 419.92

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Solution

The fourth proportional to 500.50, 750.78 and 419.92 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 750.78 = 419.92 : x
  2. Step 2: Convert to fraction form
    500.50/750.78 = 419.92/x
  3. Step 3: Cross multiply
    500.50x = 750.78 × 419.92
  4. Step 4: Simplify right side
    500.50x = 315,267.54
  5. Step 5: Solve for x
    x = 315,267.54/500.50
  6. Step 6: Final answer
    x = 629.91

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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.