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Finding the Fourth Proportional to 413.29, 619.64 and 197.02

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Solution

The fourth proportional to 413.29, 619.64 and 197.02 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 619.64 = 197.02 : x
  2. Step 2: Convert to fraction form
    413.29/619.64 = 197.02/x
  3. Step 3: Cross multiply
    413.29x = 619.64 × 197.02
  4. Step 4: Simplify right side
    413.29x = 122,082.04
  5. Step 5: Solve for x
    x = 122,082.04/413.29
  6. Step 6: Final answer
    x = 295.39

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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.