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Finding the Fourth Proportional to 299.87, 446.71 and 290.80

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Solution

The fourth proportional to 299.87, 446.71 and 290.80 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 446.71 = 290.80 : x
  2. Step 2: Convert to fraction form
    299.87/446.71 = 290.80/x
  3. Step 3: Cross multiply
    299.87x = 446.71 × 290.80
  4. Step 4: Simplify right side
    299.87x = 129,899.58
  5. Step 5: Solve for x
    x = 129,899.58/299.87
  6. Step 6: Final answer
    x = 433.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.