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Finding the Fourth Proportional to 448.67, 619.24 and 262.27

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Solution

The fourth proportional to 448.67, 619.24 and 262.27 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.67 : 619.24 = 262.27 : x
  2. Step 2: Convert to fraction form
    448.67/619.24 = 262.27/x
  3. Step 3: Cross multiply
    448.67x = 619.24 × 262.27
  4. Step 4: Simplify right side
    448.67x = 162,408.07
  5. Step 5: Solve for x
    x = 162,408.07/448.67
  6. Step 6: Final answer
    x = 361.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.