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Finding the Fourth Proportional to 303.28, 419.07 and 215.80

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Solution

The fourth proportional to 303.28, 419.07 and 215.80 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 419.07 = 215.80 : x
  2. Step 2: Convert to fraction form
    303.28/419.07 = 215.80/x
  3. Step 3: Cross multiply
    303.28x = 419.07 × 215.80
  4. Step 4: Simplify right side
    303.28x = 90,435.07
  5. Step 5: Solve for x
    x = 90,435.07/303.28
  6. Step 6: Final answer
    x = 298.19

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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.