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Finding the Fourth Proportional to 429.87, 643.71 and 212.88

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Solution

The fourth proportional to 429.87, 643.71 and 212.88 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.87 : 643.71 = 212.88 : x
  2. Step 2: Convert to fraction form
    429.87/643.71 = 212.88/x
  3. Step 3: Cross multiply
    429.87x = 643.71 × 212.88
  4. Step 4: Simplify right side
    429.87x = 137,032.98
  5. Step 5: Solve for x
    x = 137,032.98/429.87
  6. Step 6: Final answer
    x = 318.78

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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.