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Finding the Fourth Proportional to 429.09, 643.06 and 264.04

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Solution

The fourth proportional to 429.09, 643.06 and 264.04 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 643.06 = 264.04 : x
  2. Step 2: Convert to fraction form
    429.09/643.06 = 264.04/x
  3. Step 3: Cross multiply
    429.09x = 643.06 × 264.04
  4. Step 4: Simplify right side
    429.09x = 169,793.56
  5. Step 5: Solve for x
    x = 169,793.56/429.09
  6. Step 6: Final answer
    x = 395.71

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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.