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Finding the Fourth Proportional to 413.06, 617.60 and 355.95

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Solution

The fourth proportional to 413.06, 617.60 and 355.95 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 617.60 = 355.95 : x
  2. Step 2: Convert to fraction form
    413.06/617.60 = 355.95/x
  3. Step 3: Cross multiply
    413.06x = 617.60 × 355.95
  4. Step 4: Simplify right side
    413.06x = 219,832.94
  5. Step 5: Solve for x
    x = 219,832.94/413.06
  6. Step 6: Final answer
    x = 532.21

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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.