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Finding the Fourth Proportional to 553.14, 763.26 and 320.22

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Solution

The fourth proportional to 553.14, 763.26 and 320.22 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 763.26 = 320.22 : x
  2. Step 2: Convert to fraction form
    553.14/763.26 = 320.22/x
  3. Step 3: Cross multiply
    553.14x = 763.26 × 320.22
  4. Step 4: Simplify right side
    553.14x = 244,411.12
  5. Step 5: Solve for x
    x = 244,411.12/553.14
  6. Step 6: Final answer
    x = 441.86

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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.