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Finding the Fourth Proportional to 877.21, 1,314.99 and 299.68

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Solution

The fourth proportional to 877.21, 1,314.99 and 299.68 is: 449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.21 : 1,314.99 = 299.68 : x
  2. Step 2: Convert to fraction form
    877.21/1,314.99 = 299.68/x
  3. Step 3: Cross multiply
    877.21x = 1,314.99 × 299.68
  4. Step 4: Simplify right side
    877.21x = 394,072.92
  5. Step 5: Solve for x
    x = 394,072.92/877.21
  6. Step 6: Final answer
    x = 449.24

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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.