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Finding the Fourth Proportional to 506.72, 761.64 and 445.23

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Solution

The fourth proportional to 506.72, 761.64 and 445.23 is: 669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.72 : 761.64 = 445.23 : x
  2. Step 2: Convert to fraction form
    506.72/761.64 = 445.23/x
  3. Step 3: Cross multiply
    506.72x = 761.64 × 445.23
  4. Step 4: Simplify right side
    506.72x = 339,103.31
  5. Step 5: Solve for x
    x = 339,103.31/506.72
  6. Step 6: Final answer
    x = 669.21

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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.