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Finding the Fourth Proportional to 448.17, 618.41 and 261.62

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Solution

The fourth proportional to 448.17, 618.41 and 261.62 is: 361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 618.41 = 261.62 : x
  2. Step 2: Convert to fraction form
    448.17/618.41 = 261.62/x
  3. Step 3: Cross multiply
    448.17x = 618.41 × 261.62
  4. Step 4: Simplify right side
    448.17x = 161,788.31
  5. Step 5: Solve for x
    x = 161,788.31/448.17
  6. Step 6: Final answer
    x = 361.00

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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.