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Finding the Fourth Proportional to 572.32, 789.82 and 323.68

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Solution

The fourth proportional to 572.32, 789.82 and 323.68 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.32 : 789.82 = 323.68 : x
  2. Step 2: Convert to fraction form
    572.32/789.82 = 323.68/x
  3. Step 3: Cross multiply
    572.32x = 789.82 × 323.68
  4. Step 4: Simplify right side
    572.32x = 255,648.94
  5. Step 5: Solve for x
    x = 255,648.94/572.32
  6. Step 6: Final answer
    x = 446.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.