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Finding the Fourth Proportional to 428.34, 591.10 and 241.83

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Solution

The fourth proportional to 428.34, 591.10 and 241.83 is: 333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 591.10 = 241.83 : x
  2. Step 2: Convert to fraction form
    428.34/591.10 = 241.83/x
  3. Step 3: Cross multiply
    428.34x = 591.10 × 241.83
  4. Step 4: Simplify right side
    428.34x = 142,945.71
  5. Step 5: Solve for x
    x = 142,945.71/428.34
  6. Step 6: Final answer
    x = 333.72

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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.