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Finding the Fourth Proportional to 605.40, 835.86 and 381.68

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Solution

The fourth proportional to 605.40, 835.86 and 381.68 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 835.86 = 381.68 : x
  2. Step 2: Convert to fraction form
    605.40/835.86 = 381.68/x
  3. Step 3: Cross multiply
    605.40x = 835.86 × 381.68
  4. Step 4: Simplify right side
    605.40x = 319,026.87
  5. Step 5: Solve for x
    x = 319,026.87/605.40
  6. Step 6: Final answer
    x = 526.97

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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.