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Finding the Fourth Proportional to 428.70, 643.16 and 168.70

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Solution

The fourth proportional to 428.70, 643.16 and 168.70 is: 253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 643.16 = 168.70 : x
  2. Step 2: Convert to fraction form
    428.70/643.16 = 168.70/x
  3. Step 3: Cross multiply
    428.70x = 643.16 × 168.70
  4. Step 4: Simplify right side
    428.70x = 108,501.09
  5. Step 5: Solve for x
    x = 108,501.09/428.70
  6. Step 6: Final answer
    x = 253.09

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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.