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Finding the Fourth Proportional to 413.47, 619.66 and 309.94

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Solution

The fourth proportional to 413.47, 619.66 and 309.94 is: 464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 619.66 = 309.94 : x
  2. Step 2: Convert to fraction form
    413.47/619.66 = 309.94/x
  3. Step 3: Cross multiply
    413.47x = 619.66 × 309.94
  4. Step 4: Simplify right side
    413.47x = 192,055.10
  5. Step 5: Solve for x
    x = 192,055.10/413.47
  6. Step 6: Final answer
    x = 464.50

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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.