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Finding the Fourth Proportional to 603.88, 906.30 and 361

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Solution

The fourth proportional to 603.88, 906.30 and 361 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 906.30 = 361 : x
  2. Step 2: Convert to fraction form
    603.88/906.30 = 361/x
  3. Step 3: Cross multiply
    603.88x = 906.30 × 361
  4. Step 4: Simplify right side
    603.88x = 327,174.30
  5. Step 5: Solve for x
    x = 327,174.30/603.88
  6. Step 6: Final answer
    x = 541.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.