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Finding the Fourth Proportional to 448.09, 618.32 and 261.59

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Solution

The fourth proportional to 448.09, 618.32 and 261.59 is: 360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.09 : 618.32 = 261.59 : x
  2. Step 2: Convert to fraction form
    448.09/618.32 = 261.59/x
  3. Step 3: Cross multiply
    448.09x = 618.32 × 261.59
  4. Step 4: Simplify right side
    448.09x = 161,745.02
  5. Step 5: Solve for x
    x = 161,745.02/448.09
  6. Step 6: Final answer
    x = 360.97

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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.