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Finding the Fourth Proportional to 605.14, 834.87 and 384.05

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Solution

The fourth proportional to 605.14, 834.87 and 384.05 is: 529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.14 : 834.87 = 384.05 : x
  2. Step 2: Convert to fraction form
    605.14/834.87 = 384.05/x
  3. Step 3: Cross multiply
    605.14x = 834.87 × 384.05
  4. Step 4: Simplify right side
    605.14x = 320,631.82
  5. Step 5: Solve for x
    x = 320,631.82/605.14
  6. Step 6: Final answer
    x = 529.85

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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.