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Finding the Fourth Proportional to 413.16, 619.76 and 105.02

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Solution

The fourth proportional to 413.16, 619.76 and 105.02 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 619.76 = 105.02 : x
  2. Step 2: Convert to fraction form
    413.16/619.76 = 105.02/x
  3. Step 3: Cross multiply
    413.16x = 619.76 × 105.02
  4. Step 4: Simplify right side
    413.16x = 65,084.10
  5. Step 5: Solve for x
    x = 65,084.10/413.16
  6. Step 6: Final answer
    x = 157.53

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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.