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Finding the Fourth Proportional to 448.29, 618.75 and 280.26

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Solution

The fourth proportional to 448.29, 618.75 and 280.26 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.29 : 618.75 = 280.26 : x
  2. Step 2: Convert to fraction form
    448.29/618.75 = 280.26/x
  3. Step 3: Cross multiply
    448.29x = 618.75 × 280.26
  4. Step 4: Simplify right side
    448.29x = 173,410.88
  5. Step 5: Solve for x
    x = 173,410.88/448.29
  6. Step 6: Final answer
    x = 386.83

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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.