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Finding the Fourth Proportional to 413.76, 620.57 and 125.13

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Solution

The fourth proportional to 413.76, 620.57 and 125.13 is: 187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 620.57 = 125.13 : x
  2. Step 2: Convert to fraction form
    413.76/620.57 = 125.13/x
  3. Step 3: Cross multiply
    413.76x = 620.57 × 125.13
  4. Step 4: Simplify right side
    413.76x = 77,648.20
  5. Step 5: Solve for x
    x = 77,648.20/413.76
  6. Step 6: Final answer
    x = 187.67

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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.