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Finding the Fourth Proportional to 413.21, 619.82 and 292.03

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Solution

The fourth proportional to 413.21, 619.82 and 292.03 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 619.82 = 292.03 : x
  2. Step 2: Convert to fraction form
    413.21/619.82 = 292.03/x
  3. Step 3: Cross multiply
    413.21x = 619.82 × 292.03
  4. Step 4: Simplify right side
    413.21x = 181,006.03
  5. Step 5: Solve for x
    x = 181,006.03/413.21
  6. Step 6: Final answer
    x = 438.05

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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.