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Finding the Fourth Proportional to 483.85, 666.25 and 413.38

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Solution

The fourth proportional to 483.85, 666.25 and 413.38 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.85 : 666.25 = 413.38 : x
  2. Step 2: Convert to fraction form
    483.85/666.25 = 413.38/x
  3. Step 3: Cross multiply
    483.85x = 666.25 × 413.38
  4. Step 4: Simplify right side
    483.85x = 275,414.43
  5. Step 5: Solve for x
    x = 275,414.43/483.85
  6. Step 6: Final answer
    x = 569.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.