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Finding the Fourth Proportional to 413.95, 620.91 and 157.45

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Solution

The fourth proportional to 413.95, 620.91 and 157.45 is: 236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.95 : 620.91 = 157.45 : x
  2. Step 2: Convert to fraction form
    413.95/620.91 = 157.45/x
  3. Step 3: Cross multiply
    413.95x = 620.91 × 157.45
  4. Step 4: Simplify right side
    413.95x = 97,762.28
  5. Step 5: Solve for x
    x = 97,762.28/413.95
  6. Step 6: Final answer
    x = 236.17

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