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Finding the Fourth Proportional to 446.04, 669.04 and 202.28

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Solution

The fourth proportional to 446.04, 669.04 and 202.28 is: 303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 669.04 = 202.28 : x
  2. Step 2: Convert to fraction form
    446.04/669.04 = 202.28/x
  3. Step 3: Cross multiply
    446.04x = 669.04 × 202.28
  4. Step 4: Simplify right side
    446.04x = 135,333.41
  5. Step 5: Solve for x
    x = 135,333.41/446.04
  6. Step 6: Final answer
    x = 303.41

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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.