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Finding the Fourth Proportional to 499.65, 749.47 and 413.97

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Solution

The fourth proportional to 499.65, 749.47 and 413.97 is: 620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.65 : 749.47 = 413.97 : x
  2. Step 2: Convert to fraction form
    499.65/749.47 = 413.97/x
  3. Step 3: Cross multiply
    499.65x = 749.47 × 413.97
  4. Step 4: Simplify right side
    499.65x = 310,258.10
  5. Step 5: Solve for x
    x = 310,258.10/499.65
  6. Step 6: Final answer
    x = 620.95

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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.