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Finding the Fourth Proportional to 413.66, 620.10 and 153.59

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Solution

The fourth proportional to 413.66, 620.10 and 153.59 is: 230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 620.10 = 153.59 : x
  2. Step 2: Convert to fraction form
    413.66/620.10 = 153.59/x
  3. Step 3: Cross multiply
    413.66x = 620.10 × 153.59
  4. Step 4: Simplify right side
    413.66x = 95,240.39
  5. Step 5: Solve for x
    x = 95,240.39/413.66
  6. Step 6: Final answer
    x = 230.24

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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.