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Finding the Fourth Proportional to 303.44, 416.50 and 287.24

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Solution

The fourth proportional to 303.44, 416.50 and 287.24 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.44 : 416.50 = 287.24 : x
  2. Step 2: Convert to fraction form
    303.44/416.50 = 287.24/x
  3. Step 3: Cross multiply
    303.44x = 416.50 × 287.24
  4. Step 4: Simplify right side
    303.44x = 119,635.46
  5. Step 5: Solve for x
    x = 119,635.46/303.44
  6. Step 6: Final answer
    x = 394.26

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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.