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Finding the Fourth Proportional to 413.24, 619.40 and 193.55

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Solution

The fourth proportional to 413.24, 619.40 and 193.55 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 619.40 = 193.55 : x
  2. Step 2: Convert to fraction form
    413.24/619.40 = 193.55/x
  3. Step 3: Cross multiply
    413.24x = 619.40 × 193.55
  4. Step 4: Simplify right side
    413.24x = 119,880.81
  5. Step 5: Solve for x
    x = 119,880.81/413.24
  6. Step 6: Final answer
    x = 290.10

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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.