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Finding the Fourth Proportional to 428.46, 591.34 and 262.64

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Solution

The fourth proportional to 428.46, 591.34 and 262.64 is: 362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 591.34 = 262.64 : x
  2. Step 2: Convert to fraction form
    428.46/591.34 = 262.64/x
  3. Step 3: Cross multiply
    428.46x = 591.34 × 262.64
  4. Step 4: Simplify right side
    428.46x = 155,309.54
  5. Step 5: Solve for x
    x = 155,309.54/428.46
  6. Step 6: Final answer
    x = 362.48

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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.