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Finding the Fourth Proportional to 941.97, 1,413.14 and 317.21

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Solution

The fourth proportional to 941.97, 1,413.14 and 317.21 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.97 : 1,413.14 = 317.21 : x
  2. Step 2: Convert to fraction form
    941.97/1,413.14 = 317.21/x
  3. Step 3: Cross multiply
    941.97x = 1,413.14 × 317.21
  4. Step 4: Simplify right side
    941.97x = 448,253.49
  5. Step 5: Solve for x
    x = 448,253.49/941.97
  6. Step 6: Final answer
    x = 475.87

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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.