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Finding the Fourth Proportional to 553.92, 763.26 and 413.58

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Solution

The fourth proportional to 553.92, 763.26 and 413.58 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 763.26 = 413.58 : x
  2. Step 2: Convert to fraction form
    553.92/763.26 = 413.58/x
  3. Step 3: Cross multiply
    553.92x = 763.26 × 413.58
  4. Step 4: Simplify right side
    553.92x = 315,669.07
  5. Step 5: Solve for x
    x = 315,669.07/553.92
  6. Step 6: Final answer
    x = 569.88

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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.