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Finding the Fourth Proportional to 506.13, 757.58 and 451.19

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Solution

The fourth proportional to 506.13, 757.58 and 451.19 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 757.58 = 451.19 : x
  2. Step 2: Convert to fraction form
    506.13/757.58 = 451.19/x
  3. Step 3: Cross multiply
    506.13x = 757.58 × 451.19
  4. Step 4: Simplify right side
    506.13x = 341,806.48
  5. Step 5: Solve for x
    x = 341,806.48/506.13
  6. Step 6: Final answer
    x = 675.33

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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.