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Finding the Fourth Proportional to 605.67, 835.77 and 340.12

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Solution

The fourth proportional to 605.67, 835.77 and 340.12 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 835.77 = 340.12 : x
  2. Step 2: Convert to fraction form
    605.67/835.77 = 340.12/x
  3. Step 3: Cross multiply
    605.67x = 835.77 × 340.12
  4. Step 4: Simplify right side
    605.67x = 284,262.09
  5. Step 5: Solve for x
    x = 284,262.09/605.67
  6. Step 6: Final answer
    x = 469.33

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1.5x scale

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.