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Finding the Fourth Proportional to 413.23, 619.81 and 153.11

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Solution

The fourth proportional to 413.23, 619.81 and 153.11 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.23 : 619.81 = 153.11 : x
  2. Step 2: Convert to fraction form
    413.23/619.81 = 153.11/x
  3. Step 3: Cross multiply
    413.23x = 619.81 × 153.11
  4. Step 4: Simplify right side
    413.23x = 94,897.22
  5. Step 5: Solve for x
    x = 94,897.22/413.23
  6. Step 6: Final answer
    x = 229.65

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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.