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Finding the Fourth Proportional to 662.84, 914.66 and 413.97

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Solution

The fourth proportional to 662.84, 914.66 and 413.97 is: 571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 914.66 = 413.97 : x
  2. Step 2: Convert to fraction form
    662.84/914.66 = 413.97/x
  3. Step 3: Cross multiply
    662.84x = 914.66 × 413.97
  4. Step 4: Simplify right side
    662.84x = 378,635.16
  5. Step 5: Solve for x
    x = 378,635.16/662.84
  6. Step 6: Final answer
    x = 571.24

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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.