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Finding the Fourth Proportional to 603.26, 832.24 and 381.82

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Solution

The fourth proportional to 603.26, 832.24 and 381.82 is: 526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.26 : 832.24 = 381.82 : x
  2. Step 2: Convert to fraction form
    603.26/832.24 = 381.82/x
  3. Step 3: Cross multiply
    603.26x = 832.24 × 381.82
  4. Step 4: Simplify right side
    603.26x = 317,765.88
  5. Step 5: Solve for x
    x = 317,765.88/603.26
  6. Step 6: Final answer
    x = 526.75

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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.