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Finding the Fourth Proportional to 446.44, 616.26 and 299.02

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Solution

The fourth proportional to 446.44, 616.26 and 299.02 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.44 : 616.26 = 299.02 : x
  2. Step 2: Convert to fraction form
    446.44/616.26 = 299.02/x
  3. Step 3: Cross multiply
    446.44x = 616.26 × 299.02
  4. Step 4: Simplify right side
    446.44x = 184,274.07
  5. Step 5: Solve for x
    x = 184,274.07/446.44
  6. Step 6: Final answer
    x = 412.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.