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Finding the Fourth Proportional to 413.65, 620.31 and 166.77

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Solution

The fourth proportional to 413.65, 620.31 and 166.77 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 620.31 = 166.77 : x
  2. Step 2: Convert to fraction form
    413.65/620.31 = 166.77/x
  3. Step 3: Cross multiply
    413.65x = 620.31 × 166.77
  4. Step 4: Simplify right side
    413.65x = 103,446.50
  5. Step 5: Solve for x
    x = 103,446.50/413.65
  6. Step 6: Final answer
    x = 250.08

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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.