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Finding the Fourth Proportional to 446.88, 669.78 and 230.07

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Solution

The fourth proportional to 446.88, 669.78 and 230.07 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.88 : 669.78 = 230.07 : x
  2. Step 2: Convert to fraction form
    446.88/669.78 = 230.07/x
  3. Step 3: Cross multiply
    446.88x = 669.78 × 230.07
  4. Step 4: Simplify right side
    446.88x = 154,096.28
  5. Step 5: Solve for x
    x = 154,096.28/446.88
  6. Step 6: Final answer
    x = 344.83

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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.