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Finding the Fourth Proportional to 303.59, 419.24 and 205.42

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Solution

The fourth proportional to 303.59, 419.24 and 205.42 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.59 : 419.24 = 205.42 : x
  2. Step 2: Convert to fraction form
    303.59/419.24 = 205.42/x
  3. Step 3: Cross multiply
    303.59x = 419.24 × 205.42
  4. Step 4: Simplify right side
    303.59x = 86,120.28
  5. Step 5: Solve for x
    x = 86,120.28/303.59
  6. Step 6: Final answer
    x = 283.67

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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.