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Finding the Fourth Proportional to 428.14, 642.31 and 139.58

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Solution

The fourth proportional to 428.14, 642.31 and 139.58 is: 209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 642.31 = 139.58 : x
  2. Step 2: Convert to fraction form
    428.14/642.31 = 139.58/x
  3. Step 3: Cross multiply
    428.14x = 642.31 × 139.58
  4. Step 4: Simplify right side
    428.14x = 89,653.63
  5. Step 5: Solve for x
    x = 89,653.63/428.14
  6. Step 6: Final answer
    x = 209.40

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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.