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Finding the Fourth Proportional to 428.63, 643.01 and 140.13

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Solution

The fourth proportional to 428.63, 643.01 and 140.13 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 643.01 = 140.13 : x
  2. Step 2: Convert to fraction form
    428.63/643.01 = 140.13/x
  3. Step 3: Cross multiply
    428.63x = 643.01 × 140.13
  4. Step 4: Simplify right side
    428.63x = 90,104.29
  5. Step 5: Solve for x
    x = 90,104.29/428.63
  6. Step 6: Final answer
    x = 210.22

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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.