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Finding the Fourth Proportional to 428.24, 642.29 and 120.02

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Solution

The fourth proportional to 428.24, 642.29 and 120.02 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 642.29 = 120.02 : x
  2. Step 2: Convert to fraction form
    428.24/642.29 = 120.02/x
  3. Step 3: Cross multiply
    428.24x = 642.29 × 120.02
  4. Step 4: Simplify right side
    428.24x = 77,089.55
  5. Step 5: Solve for x
    x = 77,089.55/428.24
  6. Step 6: Final answer
    x = 180.01

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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.