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Finding the Fourth Proportional to 294.93, 404.73 and 290.48

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Solution

The fourth proportional to 294.93, 404.73 and 290.48 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.93 : 404.73 = 290.48 : x
  2. Step 2: Convert to fraction form
    294.93/404.73 = 290.48/x
  3. Step 3: Cross multiply
    294.93x = 404.73 × 290.48
  4. Step 4: Simplify right side
    294.93x = 117,563.95
  5. Step 5: Solve for x
    x = 117,563.95/294.93
  6. Step 6: Final answer
    x = 398.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.