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Finding the Fourth Proportional to 499.73, 749.00 and 280.24

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Solution

The fourth proportional to 499.73, 749.00 and 280.24 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.73 : 749.00 = 280.24 : x
  2. Step 2: Convert to fraction form
    499.73/749.00 = 280.24/x
  3. Step 3: Cross multiply
    499.73x = 749.00 × 280.24
  4. Step 4: Simplify right side
    499.73x = 209,898.59
  5. Step 5: Solve for x
    x = 209,898.59/499.73
  6. Step 6: Final answer
    x = 420.03

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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.