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Finding the Fourth Proportional to 428.96, 591.94 and 242.43

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Solution

The fourth proportional to 428.96, 591.94 and 242.43 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 591.94 = 242.43 : x
  2. Step 2: Convert to fraction form
    428.96/591.94 = 242.43/x
  3. Step 3: Cross multiply
    428.96x = 591.94 × 242.43
  4. Step 4: Simplify right side
    428.96x = 143,504.01
  5. Step 5: Solve for x
    x = 143,504.01/428.96
  6. Step 6: Final answer
    x = 334.54

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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.