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Finding the Fourth Proportional to 506.74, 757.10 and 446.59

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Solution

The fourth proportional to 506.74, 757.10 and 446.59 is: 667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 757.10 = 446.59 : x
  2. Step 2: Convert to fraction form
    506.74/757.10 = 446.59/x
  3. Step 3: Cross multiply
    506.74x = 757.10 × 446.59
  4. Step 4: Simplify right side
    506.74x = 338,113.29
  5. Step 5: Solve for x
    x = 338,113.29/506.74
  6. Step 6: Final answer
    x = 667.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.