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Finding the Fourth Proportional to 428.68, 591.36 and 262.84

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Solution

The fourth proportional to 428.68, 591.36 and 262.84 is: 362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.68 : 591.36 = 262.84 : x
  2. Step 2: Convert to fraction form
    428.68/591.36 = 262.84/x
  3. Step 3: Cross multiply
    428.68x = 591.36 × 262.84
  4. Step 4: Simplify right side
    428.68x = 155,433.06
  5. Step 5: Solve for x
    x = 155,433.06/428.68
  6. Step 6: Final answer
    x = 362.59

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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.