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Finding the Fourth Proportional to 303.56, 419.48 and 248.28

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Solution

The fourth proportional to 303.56, 419.48 and 248.28 is: 343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.56 : 419.48 = 248.28 : x
  2. Step 2: Convert to fraction form
    303.56/419.48 = 248.28/x
  3. Step 3: Cross multiply
    303.56x = 419.48 × 248.28
  4. Step 4: Simplify right side
    303.56x = 104,146.61
  5. Step 5: Solve for x
    x = 104,146.61/303.56
  6. Step 6: Final answer
    x = 343.09

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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.