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Finding the Fourth Proportional to 605.69, 835.83 and 357.02

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Solution

The fourth proportional to 605.69, 835.83 and 357.02 is: 492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 835.83 = 357.02 : x
  2. Step 2: Convert to fraction form
    605.69/835.83 = 357.02/x
  3. Step 3: Cross multiply
    605.69x = 835.83 × 357.02
  4. Step 4: Simplify right side
    605.69x = 298,406.24
  5. Step 5: Solve for x
    x = 298,406.24/605.69
  6. Step 6: Final answer
    x = 492.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.