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Finding the Fourth Proportional to 413.41, 616.91 and 369.60

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Solution

The fourth proportional to 413.41, 616.91 and 369.60 is: 551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.41 : 616.91 = 369.60 : x
  2. Step 2: Convert to fraction form
    413.41/616.91 = 369.60/x
  3. Step 3: Cross multiply
    413.41x = 616.91 × 369.60
  4. Step 4: Simplify right side
    413.41x = 228,005.00
  5. Step 5: Solve for x
    x = 228,005.00/413.41
  6. Step 6: Final answer
    x = 551.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.