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Finding the Fourth Proportional to 428.64, 642.56 and 140.01

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Solution

The fourth proportional to 428.64, 642.56 and 140.01 is: 209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.64 : 642.56 = 140.01 : x
  2. Step 2: Convert to fraction form
    428.64/642.56 = 140.01/x
  3. Step 3: Cross multiply
    428.64x = 642.56 × 140.01
  4. Step 4: Simplify right side
    428.64x = 89,964.13
  5. Step 5: Solve for x
    x = 89,964.13/428.64
  6. Step 6: Final answer
    x = 209.88

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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.