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Finding the Fourth Proportional to 446.49, 669.33 and 309.60

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Solution

The fourth proportional to 446.49, 669.33 and 309.60 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 669.33 = 309.60 : x
  2. Step 2: Convert to fraction form
    446.49/669.33 = 309.60/x
  3. Step 3: Cross multiply
    446.49x = 669.33 × 309.60
  4. Step 4: Simplify right side
    446.49x = 207,224.57
  5. Step 5: Solve for x
    x = 207,224.57/446.49
  6. Step 6: Final answer
    x = 464.12

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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.