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Finding the Fourth Proportional to 553.74, 763.48 and 448.44

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Solution

The fourth proportional to 553.74, 763.48 and 448.44 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 763.48 = 448.44 : x
  2. Step 2: Convert to fraction form
    553.74/763.48 = 448.44/x
  3. Step 3: Cross multiply
    553.74x = 763.48 × 448.44
  4. Step 4: Simplify right side
    553.74x = 342,370.15
  5. Step 5: Solve for x
    x = 342,370.15/553.74
  6. Step 6: Final answer
    x = 618.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.