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Finding the Fourth Proportional to 446.65, 667.39 and 322.66

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Solution

The fourth proportional to 446.65, 667.39 and 322.66 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.65 : 667.39 = 322.66 : x
  2. Step 2: Convert to fraction form
    446.65/667.39 = 322.66/x
  3. Step 3: Cross multiply
    446.65x = 667.39 × 322.66
  4. Step 4: Simplify right side
    446.65x = 215,340.06
  5. Step 5: Solve for x
    x = 215,340.06/446.65
  6. Step 6: Final answer
    x = 482.12

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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.