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Finding the Fourth Proportional to 446.72, 669.74 and 309.37

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Solution

The fourth proportional to 446.72, 669.74 and 309.37 is: 463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.72 : 669.74 = 309.37 : x
  2. Step 2: Convert to fraction form
    446.72/669.74 = 309.37/x
  3. Step 3: Cross multiply
    446.72x = 669.74 × 309.37
  4. Step 4: Simplify right side
    446.72x = 207,197.46
  5. Step 5: Solve for x
    x = 207,197.46/446.72
  6. Step 6: Final answer
    x = 463.82

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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.