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Finding the Fourth Proportional to 662.49, 914.13 and 413.90

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Solution

The fourth proportional to 662.49, 914.13 and 413.90 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.49 : 914.13 = 413.90 : x
  2. Step 2: Convert to fraction form
    662.49/914.13 = 413.90/x
  3. Step 3: Cross multiply
    662.49x = 914.13 × 413.90
  4. Step 4: Simplify right side
    662.49x = 378,353.84
  5. Step 5: Solve for x
    x = 378,353.84/662.49
  6. Step 6: Final answer
    x = 571.11

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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.