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Finding the Fourth Proportional to 448.20, 618.52 and 261.70

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Solution

The fourth proportional to 448.20, 618.52 and 261.70 is: 361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.20 : 618.52 = 261.70 : x
  2. Step 2: Convert to fraction form
    448.20/618.52 = 261.70/x
  3. Step 3: Cross multiply
    448.20x = 618.52 × 261.70
  4. Step 4: Simplify right side
    448.20x = 161,866.68
  5. Step 5: Solve for x
    x = 161,866.68/448.20
  6. Step 6: Final answer
    x = 361.15

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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.