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Finding the Fourth Proportional to 428.32, 642.51 and 120.18

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Solution

The fourth proportional to 428.32, 642.51 and 120.18 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.32 : 642.51 = 120.18 : x
  2. Step 2: Convert to fraction form
    428.32/642.51 = 120.18/x
  3. Step 3: Cross multiply
    428.32x = 642.51 × 120.18
  4. Step 4: Simplify right side
    428.32x = 77,216.85
  5. Step 5: Solve for x
    x = 77,216.85/428.32
  6. Step 6: Final answer
    x = 180.28

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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.