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Finding the Fourth Proportional to 446.61, 669.07 and 214.82

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Solution

The fourth proportional to 446.61, 669.07 and 214.82 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.61 : 669.07 = 214.82 : x
  2. Step 2: Convert to fraction form
    446.61/669.07 = 214.82/x
  3. Step 3: Cross multiply
    446.61x = 669.07 × 214.82
  4. Step 4: Simplify right side
    446.61x = 143,725.20
  5. Step 5: Solve for x
    x = 143,725.20/446.61
  6. Step 6: Final answer
    x = 321.81

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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.