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Finding the Fourth Proportional to 429.56, 643.86 and 186.29

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Solution

The fourth proportional to 429.56, 643.86 and 186.29 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 643.86 = 186.29 : x
  2. Step 2: Convert to fraction form
    429.56/643.86 = 186.29/x
  3. Step 3: Cross multiply
    429.56x = 643.86 × 186.29
  4. Step 4: Simplify right side
    429.56x = 119,944.68
  5. Step 5: Solve for x
    x = 119,944.68/429.56
  6. Step 6: Final answer
    x = 279.23

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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.