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Finding the Fourth Proportional to 605.44, 835.33 and 384.49

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Solution

The fourth proportional to 605.44, 835.33 and 384.49 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 835.33 = 384.49 : x
  2. Step 2: Convert to fraction form
    605.44/835.33 = 384.49/x
  3. Step 3: Cross multiply
    605.44x = 835.33 × 384.49
  4. Step 4: Simplify right side
    605.44x = 321,176.03
  5. Step 5: Solve for x
    x = 321,176.03/605.44
  6. Step 6: Final answer
    x = 530.48

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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.