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Finding the Fourth Proportional to 428.21, 642.19 and 120.04

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Solution

The fourth proportional to 428.21, 642.19 and 120.04 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 642.19 = 120.04 : x
  2. Step 2: Convert to fraction form
    428.21/642.19 = 120.04/x
  3. Step 3: Cross multiply
    428.21x = 642.19 × 120.04
  4. Step 4: Simplify right side
    428.21x = 77,088.49
  5. Step 5: Solve for x
    x = 77,088.49/428.21
  6. Step 6: Final answer
    x = 180.02

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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.