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Finding the Fourth Proportional to 941.94, 1,413.22 and 422.30

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Solution

The fourth proportional to 941.94, 1,413.22 and 422.30 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.94 : 1,413.22 = 422.30 : x
  2. Step 2: Convert to fraction form
    941.94/1,413.22 = 422.30/x
  3. Step 3: Cross multiply
    941.94x = 1,413.22 × 422.30
  4. Step 4: Simplify right side
    941.94x = 596,795.74
  5. Step 5: Solve for x
    x = 596,795.74/941.94
  6. Step 6: Final answer
    x = 633.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.