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Finding the Fourth Proportional to 899.33, 1,348.26 and 378.99

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Solution

The fourth proportional to 899.33, 1,348.26 and 378.99 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.33 : 1,348.26 = 378.99 : x
  2. Step 2: Convert to fraction form
    899.33/1,348.26 = 378.99/x
  3. Step 3: Cross multiply
    899.33x = 1,348.26 × 378.99
  4. Step 4: Simplify right side
    899.33x = 510,977.06
  5. Step 5: Solve for x
    x = 510,977.06/899.33
  6. Step 6: Final answer
    x = 568.18

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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.