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Finding the Fourth Proportional to 906.72, 1,359.60 and 351.36

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Solution

The fourth proportional to 906.72, 1,359.60 and 351.36 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.72 : 1,359.60 = 351.36 : x
  2. Step 2: Convert to fraction form
    906.72/1,359.60 = 351.36/x
  3. Step 3: Cross multiply
    906.72x = 1,359.60 × 351.36
  4. Step 4: Simplify right side
    906.72x = 477,709.06
  5. Step 5: Solve for x
    x = 477,709.06/906.72
  6. Step 6: Final answer
    x = 526.85

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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.