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Finding the Fourth Proportional to 422.36, 582.28 and 413.16

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Solution

The fourth proportional to 422.36, 582.28 and 413.16 is: 569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.36 : 582.28 = 413.16 : x
  2. Step 2: Convert to fraction form
    422.36/582.28 = 413.16/x
  3. Step 3: Cross multiply
    422.36x = 582.28 × 413.16
  4. Step 4: Simplify right side
    422.36x = 240,574.80
  5. Step 5: Solve for x
    x = 240,574.80/422.36
  6. Step 6: Final answer
    x = 569.60

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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.