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Finding the Fourth Proportional to 501.44, 751.05 and 413.79

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Solution

The fourth proportional to 501.44, 751.05 and 413.79 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 751.05 = 413.79 : x
  2. Step 2: Convert to fraction form
    501.44/751.05 = 413.79/x
  3. Step 3: Cross multiply
    501.44x = 751.05 × 413.79
  4. Step 4: Simplify right side
    501.44x = 310,776.98
  5. Step 5: Solve for x
    x = 310,776.98/501.44
  6. Step 6: Final answer
    x = 619.78

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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.