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Finding the Fourth Proportional to 428.42, 642.64 and 139.88

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Solution

The fourth proportional to 428.42, 642.64 and 139.88 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.42 : 642.64 = 139.88 : x
  2. Step 2: Convert to fraction form
    428.42/642.64 = 139.88/x
  3. Step 3: Cross multiply
    428.42x = 642.64 × 139.88
  4. Step 4: Simplify right side
    428.42x = 89,892.48
  5. Step 5: Solve for x
    x = 89,892.48/428.42
  6. Step 6: Final answer
    x = 209.82

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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.