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Finding the Fourth Proportional to 429.68, 643.37 and 299.41

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Solution

The fourth proportional to 429.68, 643.37 and 299.41 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 643.37 = 299.41 : x
  2. Step 2: Convert to fraction form
    429.68/643.37 = 299.41/x
  3. Step 3: Cross multiply
    429.68x = 643.37 × 299.41
  4. Step 4: Simplify right side
    429.68x = 192,628.31
  5. Step 5: Solve for x
    x = 192,628.31/429.68
  6. Step 6: Final answer
    x = 448.30

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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.