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Finding the Fourth Proportional to 404.78, 558.43 and 294.01

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Solution

The fourth proportional to 404.78, 558.43 and 294.01 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 558.43 = 294.01 : x
  2. Step 2: Convert to fraction form
    404.78/558.43 = 294.01/x
  3. Step 3: Cross multiply
    404.78x = 558.43 × 294.01
  4. Step 4: Simplify right side
    404.78x = 164,181.87
  5. Step 5: Solve for x
    x = 164,181.87/404.78
  6. Step 6: Final answer
    x = 405.61

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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.