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Finding the Fourth Proportional to 500.90, 751.14 and 227.21

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Solution

The fourth proportional to 500.90, 751.14 and 227.21 is: 340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 751.14 = 227.21 : x
  2. Step 2: Convert to fraction form
    500.90/751.14 = 227.21/x
  3. Step 3: Cross multiply
    500.90x = 751.14 × 227.21
  4. Step 4: Simplify right side
    500.90x = 170,662.76
  5. Step 5: Solve for x
    x = 170,662.76/500.90
  6. Step 6: Final answer
    x = 340.72

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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.