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Finding the Fourth Proportional to 553.48, 763.86 and 367.24

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Solution

The fourth proportional to 553.48, 763.86 and 367.24 is: 506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.48 : 763.86 = 367.24 : x
  2. Step 2: Convert to fraction form
    553.48/763.86 = 367.24/x
  3. Step 3: Cross multiply
    553.48x = 763.86 × 367.24
  4. Step 4: Simplify right side
    553.48x = 280,519.95
  5. Step 5: Solve for x
    x = 280,519.95/553.48
  6. Step 6: Final answer
    x = 506.83

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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.