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Finding the Fourth Proportional to 448.41, 618.89 and 262.02

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Solution

The fourth proportional to 448.41, 618.89 and 262.02 is: 361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.41 : 618.89 = 262.02 : x
  2. Step 2: Convert to fraction form
    448.41/618.89 = 262.02/x
  3. Step 3: Cross multiply
    448.41x = 618.89 × 262.02
  4. Step 4: Simplify right side
    448.41x = 162,163.17
  5. Step 5: Solve for x
    x = 162,163.17/448.41
  6. Step 6: Final answer
    x = 361.64

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Why These Related Problems?

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