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Finding the Fourth Proportional to 603.82, 832.92 and 382.36

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Solution

The fourth proportional to 603.82, 832.92 and 382.36 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 832.92 = 382.36 : x
  2. Step 2: Convert to fraction form
    603.82/832.92 = 382.36/x
  3. Step 3: Cross multiply
    603.82x = 832.92 × 382.36
  4. Step 4: Simplify right side
    603.82x = 318,475.29
  5. Step 5: Solve for x
    x = 318,475.29/603.82
  6. Step 6: Final answer
    x = 527.43

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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.