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Finding the Fourth Proportional to 634.06, 874.70 and 413.08

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Solution

The fourth proportional to 634.06, 874.70 and 413.08 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.06 : 874.70 = 413.08 : x
  2. Step 2: Convert to fraction form
    634.06/874.70 = 413.08/x
  3. Step 3: Cross multiply
    634.06x = 874.70 × 413.08
  4. Step 4: Simplify right side
    634.06x = 361,321.08
  5. Step 5: Solve for x
    x = 361,321.08/634.06
  6. Step 6: Final answer
    x = 569.85

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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.