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Finding the Fourth Proportional to 497.47, 744.36 and 299.11

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Solution

The fourth proportional to 497.47, 744.36 and 299.11 is: 447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.47 : 744.36 = 299.11 : x
  2. Step 2: Convert to fraction form
    497.47/744.36 = 299.11/x
  3. Step 3: Cross multiply
    497.47x = 744.36 × 299.11
  4. Step 4: Simplify right side
    497.47x = 222,645.52
  5. Step 5: Solve for x
    x = 222,645.52/497.47
  6. Step 6: Final answer
    x = 447.56

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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.