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Finding the Fourth Proportional to 428.39, 591.04 and 241.85

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Solution

The fourth proportional to 428.39, 591.04 and 241.85 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.39 : 591.04 = 241.85 : x
  2. Step 2: Convert to fraction form
    428.39/591.04 = 241.85/x
  3. Step 3: Cross multiply
    428.39x = 591.04 × 241.85
  4. Step 4: Simplify right side
    428.39x = 142,943.02
  5. Step 5: Solve for x
    x = 142,943.02/428.39
  6. Step 6: Final answer
    x = 333.67

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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.