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Finding the Fourth Proportional to 483.72, 665.13 and 413.49

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Solution

The fourth proportional to 483.72, 665.13 and 413.49 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.72 : 665.13 = 413.49 : x
  2. Step 2: Convert to fraction form
    483.72/665.13 = 413.49/x
  3. Step 3: Cross multiply
    483.72x = 665.13 × 413.49
  4. Step 4: Simplify right side
    483.72x = 275,024.60
  5. Step 5: Solve for x
    x = 275,024.60/483.72
  6. Step 6: Final answer
    x = 568.56

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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.