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Finding the Fourth Proportional to 413.27, 619.48 and 153.11

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Solution

The fourth proportional to 413.27, 619.48 and 153.11 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 619.48 = 153.11 : x
  2. Step 2: Convert to fraction form
    413.27/619.48 = 153.11/x
  3. Step 3: Cross multiply
    413.27x = 619.48 × 153.11
  4. Step 4: Simplify right side
    413.27x = 94,845.98
  5. Step 5: Solve for x
    x = 94,845.98/413.27
  6. Step 6: Final answer
    x = 229.50

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Double scale
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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.