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Finding the Fourth Proportional to 646.33, 969.46 and 275.98

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Solution

The fourth proportional to 646.33, 969.46 and 275.98 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.33 : 969.46 = 275.98 : x
  2. Step 2: Convert to fraction form
    646.33/969.46 = 275.98/x
  3. Step 3: Cross multiply
    646.33x = 969.46 × 275.98
  4. Step 4: Simplify right side
    646.33x = 267,551.57
  5. Step 5: Solve for x
    x = 267,551.57/646.33
  6. Step 6: Final answer
    x = 413.96

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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.