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Finding the Fourth Proportional to 484.19, 668.64 and 413.84

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Solution

The fourth proportional to 484.19, 668.64 and 413.84 is: 571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.19 : 668.64 = 413.84 : x
  2. Step 2: Convert to fraction form
    484.19/668.64 = 413.84/x
  3. Step 3: Cross multiply
    484.19x = 668.64 × 413.84
  4. Step 4: Simplify right side
    484.19x = 276,706.63
  5. Step 5: Solve for x
    x = 276,706.63/484.19
  6. Step 6: Final answer
    x = 571.49

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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.