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Finding the Fourth Proportional to 428.64, 642.95 and 120.49

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Solution

The fourth proportional to 428.64, 642.95 and 120.49 is: 180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.64 : 642.95 = 120.49 : x
  2. Step 2: Convert to fraction form
    428.64/642.95 = 120.49/x
  3. Step 3: Cross multiply
    428.64x = 642.95 × 120.49
  4. Step 4: Simplify right side
    428.64x = 77,467.97
  5. Step 5: Solve for x
    x = 77,467.97/428.64
  6. Step 6: Final answer
    x = 180.73

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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.