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Finding the Fourth Proportional to 572.25, 789.78 and 323.63

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Solution

The fourth proportional to 572.25, 789.78 and 323.63 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.25 : 789.78 = 323.63 : x
  2. Step 2: Convert to fraction form
    572.25/789.78 = 323.63/x
  3. Step 3: Cross multiply
    572.25x = 789.78 × 323.63
  4. Step 4: Simplify right side
    572.25x = 255,596.50
  5. Step 5: Solve for x
    x = 255,596.50/572.25
  6. Step 6: Final answer
    x = 446.65

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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.