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Finding the Fourth Proportional to 553.37, 763.76 and 413.91

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Solution

The fourth proportional to 553.37, 763.76 and 413.91 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.37 : 763.76 = 413.91 : x
  2. Step 2: Convert to fraction form
    553.37/763.76 = 413.91/x
  3. Step 3: Cross multiply
    553.37x = 763.76 × 413.91
  4. Step 4: Simplify right side
    553.37x = 316,128.94
  5. Step 5: Solve for x
    x = 316,128.94/553.37
  6. Step 6: Final answer
    x = 571.28

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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.