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Finding the Fourth Proportional to 506.74, 758.89 and 343.93

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Solution

The fourth proportional to 506.74, 758.89 and 343.93 is: 515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 758.89 = 343.93 : x
  2. Step 2: Convert to fraction form
    506.74/758.89 = 343.93/x
  3. Step 3: Cross multiply
    506.74x = 758.89 × 343.93
  4. Step 4: Simplify right side
    506.74x = 261,002.28
  5. Step 5: Solve for x
    x = 261,002.28/506.74
  6. Step 6: Final answer
    x = 515.06

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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.