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Finding the Fourth Proportional to 619.96, 929.02 and 413.82

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Solution

The fourth proportional to 619.96, 929.02 and 413.82 is: 620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.96 : 929.02 = 413.82 : x
  2. Step 2: Convert to fraction form
    619.96/929.02 = 413.82/x
  3. Step 3: Cross multiply
    619.96x = 929.02 × 413.82
  4. Step 4: Simplify right side
    619.96x = 384,447.06
  5. Step 5: Solve for x
    x = 384,447.06/619.96
  6. Step 6: Final answer
    x = 620.12

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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.