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Finding the Fourth Proportional to 413.71, 620.50 and 105.53

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Solution

The fourth proportional to 413.71, 620.50 and 105.53 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 620.50 = 105.53 : x
  2. Step 2: Convert to fraction form
    413.71/620.50 = 105.53/x
  3. Step 3: Cross multiply
    413.71x = 620.50 × 105.53
  4. Step 4: Simplify right side
    413.71x = 65,484.39
  5. Step 5: Solve for x
    x = 65,484.39/413.71
  6. Step 6: Final answer
    x = 158.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.