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Finding the Fourth Proportional to 906.44, 1,359.40 and 351.02

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Solution

The fourth proportional to 906.44, 1,359.40 and 351.02 is: 526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.44 : 1,359.40 = 351.02 : x
  2. Step 2: Convert to fraction form
    906.44/1,359.40 = 351.02/x
  3. Step 3: Cross multiply
    906.44x = 1,359.40 × 351.02
  4. Step 4: Simplify right side
    906.44x = 477,176.59
  5. Step 5: Solve for x
    x = 477,176.59/906.44
  6. Step 6: Final answer
    x = 526.43

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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.