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Finding the Fourth Proportional to 612.21, 844.71 and 413.41

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Solution

The fourth proportional to 612.21, 844.71 and 413.41 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.21 : 844.71 = 413.41 : x
  2. Step 2: Convert to fraction form
    612.21/844.71 = 413.41/x
  3. Step 3: Cross multiply
    612.21x = 844.71 × 413.41
  4. Step 4: Simplify right side
    612.21x = 349,211.56
  5. Step 5: Solve for x
    x = 349,211.56/612.21
  6. Step 6: Final answer
    x = 570.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.