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Finding the Fourth Proportional to 484.04, 668.45 and 413.69

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Solution

The fourth proportional to 484.04, 668.45 and 413.69 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.04 : 668.45 = 413.69 : x
  2. Step 2: Convert to fraction form
    484.04/668.45 = 413.69/x
  3. Step 3: Cross multiply
    484.04x = 668.45 × 413.69
  4. Step 4: Simplify right side
    484.04x = 276,531.08
  5. Step 5: Solve for x
    x = 276,531.08/484.04
  6. Step 6: Final answer
    x = 571.30

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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.