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Finding the Fourth Proportional to 446.43, 669.47 and 215.26

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Solution

The fourth proportional to 446.43, 669.47 and 215.26 is: 322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.43 : 669.47 = 215.26 : x
  2. Step 2: Convert to fraction form
    446.43/669.47 = 215.26/x
  3. Step 3: Cross multiply
    446.43x = 669.47 × 215.26
  4. Step 4: Simplify right side
    446.43x = 144,110.11
  5. Step 5: Solve for x
    x = 144,110.11/446.43
  6. Step 6: Final answer
    x = 322.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.