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Finding the Fourth Proportional to 394.48, 589.92 and 290.50

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Solution

The fourth proportional to 394.48, 589.92 and 290.50 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.48 : 589.92 = 290.50 : x
  2. Step 2: Convert to fraction form
    394.48/589.92 = 290.50/x
  3. Step 3: Cross multiply
    394.48x = 589.92 × 290.50
  4. Step 4: Simplify right side
    394.48x = 171,371.76
  5. Step 5: Solve for x
    x = 171,371.76/394.48
  6. Step 6: Final answer
    x = 434.42

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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.