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Finding the Fourth Proportional to 605.36, 835.20 and 384.41

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Solution

The fourth proportional to 605.36, 835.20 and 384.41 is: 530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 835.20 = 384.41 : x
  2. Step 2: Convert to fraction form
    605.36/835.20 = 384.41/x
  3. Step 3: Cross multiply
    605.36x = 835.20 × 384.41
  4. Step 4: Simplify right side
    605.36x = 321,061.32
  5. Step 5: Solve for x
    x = 321,061.32/605.36
  6. Step 6: Final answer
    x = 530.36

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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.