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Finding the Fourth Proportional to 662.67, 914.22 and 413.82

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Solution

The fourth proportional to 662.67, 914.22 and 413.82 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.67 : 914.22 = 413.82 : x
  2. Step 2: Convert to fraction form
    662.67/914.22 = 413.82/x
  3. Step 3: Cross multiply
    662.67x = 914.22 × 413.82
  4. Step 4: Simplify right side
    662.67x = 378,322.52
  5. Step 5: Solve for x
    x = 378,322.52/662.67
  6. Step 6: Final answer
    x = 570.91

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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.