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Finding the Fourth Proportional to 605.81, 836.02 and 357.14

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Solution

The fourth proportional to 605.81, 836.02 and 357.14 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 836.02 = 357.14 : x
  2. Step 2: Convert to fraction form
    605.81/836.02 = 357.14/x
  3. Step 3: Cross multiply
    605.81x = 836.02 × 357.14
  4. Step 4: Simplify right side
    605.81x = 298,576.18
  5. Step 5: Solve for x
    x = 298,576.18/605.81
  6. Step 6: Final answer
    x = 492.85

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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.