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Finding the Fourth Proportional to 428.82, 643.08 and 209.28

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Solution

The fourth proportional to 428.82, 643.08 and 209.28 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 643.08 = 209.28 : x
  2. Step 2: Convert to fraction form
    428.82/643.08 = 209.28/x
  3. Step 3: Cross multiply
    428.82x = 643.08 × 209.28
  4. Step 4: Simplify right side
    428.82x = 134,583.78
  5. Step 5: Solve for x
    x = 134,583.78/428.82
  6. Step 6: Final answer
    x = 313.85

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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.