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Finding the Fourth Proportional to 393.93, 589.82 and 290.79

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Solution

The fourth proportional to 393.93, 589.82 and 290.79 is: 435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.93 : 589.82 = 290.79 : x
  2. Step 2: Convert to fraction form
    393.93/589.82 = 290.79/x
  3. Step 3: Cross multiply
    393.93x = 589.82 × 290.79
  4. Step 4: Simplify right side
    393.93x = 171,512.30
  5. Step 5: Solve for x
    x = 171,512.30/393.93
  6. Step 6: Final answer
    x = 435.39

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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.