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Finding the Fourth Proportional to 404.08, 604.32 and 361

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Solution

The fourth proportional to 404.08, 604.32 and 361 is: 539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.08 : 604.32 = 361 : x
  2. Step 2: Convert to fraction form
    404.08/604.32 = 361/x
  3. Step 3: Cross multiply
    404.08x = 604.32 × 361
  4. Step 4: Simplify right side
    404.08x = 218,159.52
  5. Step 5: Solve for x
    x = 218,159.52/404.08
  6. Step 6: Final answer
    x = 539.89

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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.