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Finding the Fourth Proportional to 605.03, 835.35 and 381.06

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Solution

The fourth proportional to 605.03, 835.35 and 381.06 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.03 : 835.35 = 381.06 : x
  2. Step 2: Convert to fraction form
    605.03/835.35 = 381.06/x
  3. Step 3: Cross multiply
    605.03x = 835.35 × 381.06
  4. Step 4: Simplify right side
    605.03x = 318,318.47
  5. Step 5: Solve for x
    x = 318,318.47/605.03
  6. Step 6: Final answer
    x = 526.12

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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.