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Finding the Fourth Proportional to 544.36, 815.90 and 446.96

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Solution

The fourth proportional to 544.36, 815.90 and 446.96 is: 669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.36 : 815.90 = 446.96 : x
  2. Step 2: Convert to fraction form
    544.36/815.90 = 446.96/x
  3. Step 3: Cross multiply
    544.36x = 815.90 × 446.96
  4. Step 4: Simplify right side
    544.36x = 364,674.66
  5. Step 5: Solve for x
    x = 364,674.66/544.36
  6. Step 6: Final answer
    x = 669.91

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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.