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Finding the Fourth Proportional to 572.24, 789.74 and 323.59

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Solution

The fourth proportional to 572.24, 789.74 and 323.59 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 789.74 = 323.59 : x
  2. Step 2: Convert to fraction form
    572.24/789.74 = 323.59/x
  3. Step 3: Cross multiply
    572.24x = 789.74 × 323.59
  4. Step 4: Simplify right side
    572.24x = 255,548.37
  5. Step 5: Solve for x
    x = 255,548.37/572.24
  6. Step 6: Final answer
    x = 446.57

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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.