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Finding the Fourth Proportional to 605.65, 835.86 and 357.05

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Solution

The fourth proportional to 605.65, 835.86 and 357.05 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.65 : 835.86 = 357.05 : x
  2. Step 2: Convert to fraction form
    605.65/835.86 = 357.05/x
  3. Step 3: Cross multiply
    605.65x = 835.86 × 357.05
  4. Step 4: Simplify right side
    605.65x = 298,446.80
  5. Step 5: Solve for x
    x = 298,446.80/605.65
  6. Step 6: Final answer
    x = 492.77

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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.