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Finding the Fourth Proportional to 499.99, 750.06 and 175.27

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Solution

The fourth proportional to 499.99, 750.06 and 175.27 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.99 : 750.06 = 175.27 : x
  2. Step 2: Convert to fraction form
    499.99/750.06 = 175.27/x
  3. Step 3: Cross multiply
    499.99x = 750.06 × 175.27
  4. Step 4: Simplify right side
    499.99x = 131,463.02
  5. Step 5: Solve for x
    x = 131,463.02/499.99
  6. Step 6: Final answer
    x = 262.93

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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.