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Finding the Fourth Proportional to 484.81, 667.86 and 413.71

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Solution

The fourth proportional to 484.81, 667.86 and 413.71 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 667.86 = 413.71 : x
  2. Step 2: Convert to fraction form
    484.81/667.86 = 413.71/x
  3. Step 3: Cross multiply
    484.81x = 667.86 × 413.71
  4. Step 4: Simplify right side
    484.81x = 276,299.03
  5. Step 5: Solve for x
    x = 276,299.03/484.81
  6. Step 6: Final answer
    x = 569.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.