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Finding the Fourth Proportional to 603.11, 832.37 and 382.38

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Solution

The fourth proportional to 603.11, 832.37 and 382.38 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.11 : 832.37 = 382.38 : x
  2. Step 2: Convert to fraction form
    603.11/832.37 = 382.38/x
  3. Step 3: Cross multiply
    603.11x = 832.37 × 382.38
  4. Step 4: Simplify right side
    603.11x = 318,279.73
  5. Step 5: Solve for x
    x = 318,279.73/603.11
  6. Step 6: Final answer
    x = 527.74

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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.