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Finding the Fourth Proportional to 413.18, 616.06 and 405.90

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Solution

The fourth proportional to 413.18, 616.06 and 405.90 is: 605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 616.06 = 405.90 : x
  2. Step 2: Convert to fraction form
    413.18/616.06 = 405.90/x
  3. Step 3: Cross multiply
    413.18x = 616.06 × 405.90
  4. Step 4: Simplify right side
    413.18x = 250,058.75
  5. Step 5: Solve for x
    x = 250,058.75/413.18
  6. Step 6: Final answer
    x = 605.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.