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Finding the Fourth Proportional to 605.71, 835.81 and 356.91

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Solution

The fourth proportional to 605.71, 835.81 and 356.91 is: 492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.71 : 835.81 = 356.91 : x
  2. Step 2: Convert to fraction form
    605.71/835.81 = 356.91/x
  3. Step 3: Cross multiply
    605.71x = 835.81 × 356.91
  4. Step 4: Simplify right side
    605.71x = 298,308.95
  5. Step 5: Solve for x
    x = 298,308.95/605.71
  6. Step 6: Final answer
    x = 492.49

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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.