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Finding the Fourth Proportional to 446.56, 669.28 and 215.20

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Solution

The fourth proportional to 446.56, 669.28 and 215.20 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 669.28 = 215.20 : x
  2. Step 2: Convert to fraction form
    446.56/669.28 = 215.20/x
  3. Step 3: Cross multiply
    446.56x = 669.28 × 215.20
  4. Step 4: Simplify right side
    446.56x = 144,029.06
  5. Step 5: Solve for x
    x = 144,029.06/446.56
  6. Step 6: Final answer
    x = 322.53

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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.