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Finding the Fourth Proportional to 413.91, 620.10 and 385.47

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Solution

The fourth proportional to 413.91, 620.10 and 385.47 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 620.10 = 385.47 : x
  2. Step 2: Convert to fraction form
    413.91/620.10 = 385.47/x
  3. Step 3: Cross multiply
    413.91x = 620.10 × 385.47
  4. Step 4: Simplify right side
    413.91x = 239,029.95
  5. Step 5: Solve for x
    x = 239,029.95/413.91
  6. Step 6: Final answer
    x = 577.49

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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.