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Finding the Fourth Proportional to 360.94, 496.06 and 319.23

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Solution

The fourth proportional to 360.94, 496.06 and 319.23 is: 438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 496.06 = 319.23 : x
  2. Step 2: Convert to fraction form
    360.94/496.06 = 319.23/x
  3. Step 3: Cross multiply
    360.94x = 496.06 × 319.23
  4. Step 4: Simplify right side
    360.94x = 158,357.23
  5. Step 5: Solve for x
    x = 158,357.23/360.94
  6. Step 6: Final answer
    x = 438.74

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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.