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Finding the Fourth Proportional to 456.21, 680.42 and 446.49

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Solution

The fourth proportional to 456.21, 680.42 and 446.49 is: 665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 680.42 = 446.49 : x
  2. Step 2: Convert to fraction form
    456.21/680.42 = 446.49/x
  3. Step 3: Cross multiply
    456.21x = 680.42 × 446.49
  4. Step 4: Simplify right side
    456.21x = 303,801.84
  5. Step 5: Solve for x
    x = 303,801.84/456.21
  6. Step 6: Final answer
    x = 665.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.