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Finding the Fourth Proportional to 428.45, 591.33 and 262.75

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Solution

The fourth proportional to 428.45, 591.33 and 262.75 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.45 : 591.33 = 262.75 : x
  2. Step 2: Convert to fraction form
    428.45/591.33 = 262.75/x
  3. Step 3: Cross multiply
    428.45x = 591.33 × 262.75
  4. Step 4: Simplify right side
    428.45x = 155,370.64
  5. Step 5: Solve for x
    x = 155,370.64/428.45
  6. Step 6: Final answer
    x = 362.64

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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.