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Finding the Fourth Proportional to 429.15, 643.73 and 326.62

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Solution

The fourth proportional to 429.15, 643.73 and 326.62 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 643.73 = 326.62 : x
  2. Step 2: Convert to fraction form
    429.15/643.73 = 326.62/x
  3. Step 3: Cross multiply
    429.15x = 643.73 × 326.62
  4. Step 4: Simplify right side
    429.15x = 210,255.09
  5. Step 5: Solve for x
    x = 210,255.09/429.15
  6. Step 6: Final answer
    x = 489.93

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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.