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Finding the Fourth Proportional to 497.57, 744.96 and 343.13

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Solution

The fourth proportional to 497.57, 744.96 and 343.13 is: 513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.57 : 744.96 = 343.13 : x
  2. Step 2: Convert to fraction form
    497.57/744.96 = 343.13/x
  3. Step 3: Cross multiply
    497.57x = 744.96 × 343.13
  4. Step 4: Simplify right side
    497.57x = 255,618.12
  5. Step 5: Solve for x
    x = 255,618.12/497.57
  6. Step 6: Final answer
    x = 513.73

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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.