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Finding the Fourth Proportional to 662.96, 914.51 and 413.98

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Solution

The fourth proportional to 662.96, 914.51 and 413.98 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 914.51 = 413.98 : x
  2. Step 2: Convert to fraction form
    662.96/914.51 = 413.98/x
  3. Step 3: Cross multiply
    662.96x = 914.51 × 413.98
  4. Step 4: Simplify right side
    662.96x = 378,587.60
  5. Step 5: Solve for x
    x = 378,587.60/662.96
  6. Step 6: Final answer
    x = 571.05

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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.