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Finding the Fourth Proportional to 428.16, 640.56 and 319.44

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Solution

The fourth proportional to 428.16, 640.56 and 319.44 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.16 : 640.56 = 319.44 : x
  2. Step 2: Convert to fraction form
    428.16/640.56 = 319.44/x
  3. Step 3: Cross multiply
    428.16x = 640.56 × 319.44
  4. Step 4: Simplify right side
    428.16x = 204,620.49
  5. Step 5: Solve for x
    x = 204,620.49/428.16
  6. Step 6: Final answer
    x = 477.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.