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Finding the Fourth Proportional to 428.22, 591.04 and 272.88

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Solution

The fourth proportional to 428.22, 591.04 and 272.88 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 591.04 = 272.88 : x
  2. Step 2: Convert to fraction form
    428.22/591.04 = 272.88/x
  3. Step 3: Cross multiply
    428.22x = 591.04 × 272.88
  4. Step 4: Simplify right side
    428.22x = 161,283.00
  5. Step 5: Solve for x
    x = 161,283.00/428.22
  6. Step 6: Final answer
    x = 376.64

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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.