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Finding the Fourth Proportional to 553.26, 763.38 and 320.26

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Solution

The fourth proportional to 553.26, 763.38 and 320.26 is: 441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 763.38 = 320.26 : x
  2. Step 2: Convert to fraction form
    553.26/763.38 = 320.26/x
  3. Step 3: Cross multiply
    553.26x = 763.38 × 320.26
  4. Step 4: Simplify right side
    553.26x = 244,480.08
  5. Step 5: Solve for x
    x = 244,480.08/553.26
  6. Step 6: Final answer
    x = 441.89

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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.