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Finding the Fourth Proportional to 553.46, 763.20 and 413.36

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Solution

The fourth proportional to 553.46, 763.20 and 413.36 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.46 : 763.20 = 413.36 : x
  2. Step 2: Convert to fraction form
    553.46/763.20 = 413.36/x
  3. Step 3: Cross multiply
    553.46x = 763.20 × 413.36
  4. Step 4: Simplify right side
    553.46x = 315,473.16
  5. Step 5: Solve for x
    x = 315,473.16/553.46
  6. Step 6: Final answer
    x = 570.00

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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.