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Finding the Fourth Proportional to 553.36, 763.97 and 491.85

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Solution

The fourth proportional to 553.36, 763.97 and 491.85 is: 679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 763.97 = 491.85 : x
  2. Step 2: Convert to fraction form
    553.36/763.97 = 491.85/x
  3. Step 3: Cross multiply
    553.36x = 763.97 × 491.85
  4. Step 4: Simplify right side
    553.36x = 375,756.19
  5. Step 5: Solve for x
    x = 375,756.19/553.36
  6. Step 6: Final answer
    x = 679.04

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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.