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Finding the Fourth Proportional to 303.54, 419.10 and 205.48

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Solution

The fourth proportional to 303.54, 419.10 and 205.48 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 419.10 = 205.48 : x
  2. Step 2: Convert to fraction form
    303.54/419.10 = 205.48/x
  3. Step 3: Cross multiply
    303.54x = 419.10 × 205.48
  4. Step 4: Simplify right side
    303.54x = 86,116.67
  5. Step 5: Solve for x
    x = 86,116.67/303.54
  6. Step 6: Final answer
    x = 283.71

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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.