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Finding the Fourth Proportional to 605.80, 835.86 and 384.81

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Solution

The fourth proportional to 605.80, 835.86 and 384.81 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 835.86 = 384.81 : x
  2. Step 2: Convert to fraction form
    605.80/835.86 = 384.81/x
  3. Step 3: Cross multiply
    605.80x = 835.86 × 384.81
  4. Step 4: Simplify right side
    605.80x = 321,647.29
  5. Step 5: Solve for x
    x = 321,647.29/605.80
  6. Step 6: Final answer
    x = 530.95

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