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Finding the Fourth Proportional to 448.36, 618.77 and 261.83

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Solution

The fourth proportional to 448.36, 618.77 and 261.83 is: 361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.36 : 618.77 = 261.83 : x
  2. Step 2: Convert to fraction form
    448.36/618.77 = 261.83/x
  3. Step 3: Cross multiply
    448.36x = 618.77 × 261.83
  4. Step 4: Simplify right side
    448.36x = 162,014.75
  5. Step 5: Solve for x
    x = 162,014.75/448.36
  6. Step 6: Final answer
    x = 361.35

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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.