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Finding the Fourth Proportional to 428.69, 643.04 and 140.13

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Solution

The fourth proportional to 428.69, 643.04 and 140.13 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 643.04 = 140.13 : x
  2. Step 2: Convert to fraction form
    428.69/643.04 = 140.13/x
  3. Step 3: Cross multiply
    428.69x = 643.04 × 140.13
  4. Step 4: Simplify right side
    428.69x = 90,105.28
  5. Step 5: Solve for x
    x = 90,105.28/428.69
  6. Step 6: Final answer
    x = 210.19

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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.