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Finding the Fourth Proportional to 394.77, 589.47 and 353.37

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Solution

The fourth proportional to 394.77, 589.47 and 353.37 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.77 : 589.47 = 353.37 : x
  2. Step 2: Convert to fraction form
    394.77/589.47 = 353.37/x
  3. Step 3: Cross multiply
    394.77x = 589.47 × 353.37
  4. Step 4: Simplify right side
    394.77x = 208,299.25
  5. Step 5: Solve for x
    x = 208,299.25/394.77
  6. Step 6: Final answer
    x = 527.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.