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Finding the Fourth Proportional to 603.27, 832.32 and 378.99

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Solution

The fourth proportional to 603.27, 832.32 and 378.99 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.27 : 832.32 = 378.99 : x
  2. Step 2: Convert to fraction form
    603.27/832.32 = 378.99/x
  3. Step 3: Cross multiply
    603.27x = 832.32 × 378.99
  4. Step 4: Simplify right side
    603.27x = 315,440.96
  5. Step 5: Solve for x
    x = 315,440.96/603.27
  6. Step 6: Final answer
    x = 522.89

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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.