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Finding the Fourth Proportional to 303.86, 419.28 and 205.74

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Solution

The fourth proportional to 303.86, 419.28 and 205.74 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 419.28 = 205.74 : x
  2. Step 2: Convert to fraction form
    303.86/419.28 = 205.74/x
  3. Step 3: Cross multiply
    303.86x = 419.28 × 205.74
  4. Step 4: Simplify right side
    303.86x = 86,262.67
  5. Step 5: Solve for x
    x = 86,262.67/303.86
  6. Step 6: Final answer
    x = 283.89

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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.