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Finding the Fourth Proportional to 605.58, 835.46 and 381.12

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Solution

The fourth proportional to 605.58, 835.46 and 381.12 is: 525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.58 : 835.46 = 381.12 : x
  2. Step 2: Convert to fraction form
    605.58/835.46 = 381.12/x
  3. Step 3: Cross multiply
    605.58x = 835.46 × 381.12
  4. Step 4: Simplify right side
    605.58x = 318,412.14
  5. Step 5: Solve for x
    x = 318,412.14/605.58
  6. Step 6: Final answer
    x = 525.79

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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.