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Finding the Fourth Proportional to 500.99, 751.41 and 154.24

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Solution

The fourth proportional to 500.99, 751.41 and 154.24 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.99 : 751.41 = 154.24 : x
  2. Step 2: Convert to fraction form
    500.99/751.41 = 154.24/x
  3. Step 3: Cross multiply
    500.99x = 751.41 × 154.24
  4. Step 4: Simplify right side
    500.99x = 115,895.60
  5. Step 5: Solve for x
    x = 115,895.60/500.99
  6. Step 6: Final answer
    x = 231.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.