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Finding the Fourth Proportional to 422.62, 581.95 and 413.53

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Solution

The fourth proportional to 422.62, 581.95 and 413.53 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 581.95 = 413.53 : x
  2. Step 2: Convert to fraction form
    422.62/581.95 = 413.53/x
  3. Step 3: Cross multiply
    422.62x = 581.95 × 413.53
  4. Step 4: Simplify right side
    422.62x = 240,653.78
  5. Step 5: Solve for x
    x = 240,653.78/422.62
  6. Step 6: Final answer
    x = 569.43

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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.