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Finding the Fourth Proportional to 399.09, 596.78 and 295.37

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Solution

The fourth proportional to 399.09, 596.78 and 295.37 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 596.78 = 295.37 : x
  2. Step 2: Convert to fraction form
    399.09/596.78 = 295.37/x
  3. Step 3: Cross multiply
    399.09x = 596.78 × 295.37
  4. Step 4: Simplify right side
    399.09x = 176,270.91
  5. Step 5: Solve for x
    x = 176,270.91/399.09
  6. Step 6: Final answer
    x = 441.68

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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.