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Finding the Fourth Proportional to 428.71, 591.42 and 304.33

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Solution

The fourth proportional to 428.71, 591.42 and 304.33 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.71 : 591.42 = 304.33 : x
  2. Step 2: Convert to fraction form
    428.71/591.42 = 304.33/x
  3. Step 3: Cross multiply
    428.71x = 591.42 × 304.33
  4. Step 4: Simplify right side
    428.71x = 179,986.85
  5. Step 5: Solve for x
    x = 179,986.85/428.71
  6. Step 6: Final answer
    x = 419.83

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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.