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Finding the Fourth Proportional to 428.66, 643.01 and 120.50

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Solution

The fourth proportional to 428.66, 643.01 and 120.50 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.66 : 643.01 = 120.50 : x
  2. Step 2: Convert to fraction form
    428.66/643.01 = 120.50/x
  3. Step 3: Cross multiply
    428.66x = 643.01 × 120.50
  4. Step 4: Simplify right side
    428.66x = 77,481.30
  5. Step 5: Solve for x
    x = 77,481.30/428.66
  6. Step 6: Final answer
    x = 180.75

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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.