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Finding the Fourth Proportional to 500.69, 750.96 and 204.23

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Solution

The fourth proportional to 500.69, 750.96 and 204.23 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.69 : 750.96 = 204.23 : x
  2. Step 2: Convert to fraction form
    500.69/750.96 = 204.23/x
  3. Step 3: Cross multiply
    500.69x = 750.96 × 204.23
  4. Step 4: Simplify right side
    500.69x = 153,370.44
  5. Step 5: Solve for x
    x = 153,370.44/500.69
  6. Step 6: Final answer
    x = 306.32

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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.