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Finding the Fourth Proportional to 413.21, 619.88 and 337.27

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Solution

The fourth proportional to 413.21, 619.88 and 337.27 is: 505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 619.88 = 337.27 : x
  2. Step 2: Convert to fraction form
    413.21/619.88 = 337.27/x
  3. Step 3: Cross multiply
    413.21x = 619.88 × 337.27
  4. Step 4: Simplify right side
    413.21x = 209,062.14
  5. Step 5: Solve for x
    x = 209,062.14/413.21
  6. Step 6: Final answer
    x = 505.95

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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.