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Finding the Fourth Proportional to 690.08, 952.08 and 413.92

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Solution

The fourth proportional to 690.08, 952.08 and 413.92 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 952.08 = 413.92 : x
  2. Step 2: Convert to fraction form
    690.08/952.08 = 413.92/x
  3. Step 3: Cross multiply
    690.08x = 952.08 × 413.92
  4. Step 4: Simplify right side
    690.08x = 394,084.95
  5. Step 5: Solve for x
    x = 394,084.95/690.08
  6. Step 6: Final answer
    x = 571.07

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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.