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Finding the Fourth Proportional to 428.88, 643.36 and 140.24

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Solution

The fourth proportional to 428.88, 643.36 and 140.24 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.88 : 643.36 = 140.24 : x
  2. Step 2: Convert to fraction form
    428.88/643.36 = 140.24/x
  3. Step 3: Cross multiply
    428.88x = 643.36 × 140.24
  4. Step 4: Simplify right side
    428.88x = 90,224.81
  5. Step 5: Solve for x
    x = 90,224.81/428.88
  6. Step 6: Final answer
    x = 210.37

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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.