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Finding the Fourth Proportional to 303.69, 419.31 and 216.48

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Solution

The fourth proportional to 303.69, 419.31 and 216.48 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.69 : 419.31 = 216.48 : x
  2. Step 2: Convert to fraction form
    303.69/419.31 = 216.48/x
  3. Step 3: Cross multiply
    303.69x = 419.31 × 216.48
  4. Step 4: Simplify right side
    303.69x = 90,772.23
  5. Step 5: Solve for x
    x = 90,772.23/303.69
  6. Step 6: Final answer
    x = 298.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.