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Finding the Fourth Proportional to 413.82, 620.00 and 283.62

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Solution

The fourth proportional to 413.82, 620.00 and 283.62 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.00 = 283.62 : x
  2. Step 2: Convert to fraction form
    413.82/620.00 = 283.62/x
  3. Step 3: Cross multiply
    413.82x = 620.00 × 283.62
  4. Step 4: Simplify right side
    413.82x = 175,842.98
  5. Step 5: Solve for x
    x = 175,842.98/413.82
  6. Step 6: Final answer
    x = 424.93

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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.