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Finding the Fourth Proportional to 553.29, 763.25 and 422.07

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Solution

The fourth proportional to 553.29, 763.25 and 422.07 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.29 : 763.25 = 422.07 : x
  2. Step 2: Convert to fraction form
    553.29/763.25 = 422.07/x
  3. Step 3: Cross multiply
    553.29x = 763.25 × 422.07
  4. Step 4: Simplify right side
    553.29x = 322,144.93
  5. Step 5: Solve for x
    x = 322,144.93/553.29
  6. Step 6: Final answer
    x = 582.24

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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.