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Finding the Fourth Proportional to 429.02, 643.82 and 299.33

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Solution

The fourth proportional to 429.02, 643.82 and 299.33 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.02 : 643.82 = 299.33 : x
  2. Step 2: Convert to fraction form
    429.02/643.82 = 299.33/x
  3. Step 3: Cross multiply
    429.02x = 643.82 × 299.33
  4. Step 4: Simplify right side
    429.02x = 192,709.92
  5. Step 5: Solve for x
    x = 192,709.92/429.02
  6. Step 6: Final answer
    x = 449.19

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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.