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Finding the Fourth Proportional to 413.02, 619.53 and 109.02

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Solution

The fourth proportional to 413.02, 619.53 and 109.02 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 619.53 = 109.02 : x
  2. Step 2: Convert to fraction form
    413.02/619.53 = 109.02/x
  3. Step 3: Cross multiply
    413.02x = 619.53 × 109.02
  4. Step 4: Simplify right side
    413.02x = 67,541.16
  5. Step 5: Solve for x
    x = 67,541.16/413.02
  6. Step 6: Final answer
    x = 163.53

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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.