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Finding the Fourth Proportional to 553.24, 763.82 and 494.92

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Solution

The fourth proportional to 553.24, 763.82 and 494.92 is: 683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.24 : 763.82 = 494.92 : x
  2. Step 2: Convert to fraction form
    553.24/763.82 = 494.92/x
  3. Step 3: Cross multiply
    553.24x = 763.82 × 494.92
  4. Step 4: Simplify right side
    553.24x = 378,029.79
  5. Step 5: Solve for x
    x = 378,029.79/553.24
  6. Step 6: Final answer
    x = 683.30

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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.