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Finding the Fourth Proportional to 605.82, 835.20 and 507.42

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Solution

The fourth proportional to 605.82, 835.20 and 507.42 is: 699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 835.20 = 507.42 : x
  2. Step 2: Convert to fraction form
    605.82/835.20 = 507.42/x
  3. Step 3: Cross multiply
    605.82x = 835.20 × 507.42
  4. Step 4: Simplify right side
    605.82x = 423,797.18
  5. Step 5: Solve for x
    x = 423,797.18/605.82
  6. Step 6: Final answer
    x = 699.54

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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.