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Finding the Fourth Proportional to 437.09, 653.79 and 333.20

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Solution

The fourth proportional to 437.09, 653.79 and 333.20 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.09 : 653.79 = 333.20 : x
  2. Step 2: Convert to fraction form
    437.09/653.79 = 333.20/x
  3. Step 3: Cross multiply
    437.09x = 653.79 × 333.20
  4. Step 4: Simplify right side
    437.09x = 217,839.56
  5. Step 5: Solve for x
    x = 217,839.56/437.09
  6. Step 6: Final answer
    x = 498.39

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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.