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Finding the Fourth Proportional to 428.55, 642.67 and 139.89

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Solution

The fourth proportional to 428.55, 642.67 and 139.89 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.55 : 642.67 = 139.89 : x
  2. Step 2: Convert to fraction form
    428.55/642.67 = 139.89/x
  3. Step 3: Cross multiply
    428.55x = 642.67 × 139.89
  4. Step 4: Simplify right side
    428.55x = 89,903.11
  5. Step 5: Solve for x
    x = 89,903.11/428.55
  6. Step 6: Final answer
    x = 209.78

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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.