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Finding the Fourth Proportional to 572.34, 789.75 and 323.64

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Solution

The fourth proportional to 572.34, 789.75 and 323.64 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 789.75 = 323.64 : x
  2. Step 2: Convert to fraction form
    572.34/789.75 = 323.64/x
  3. Step 3: Cross multiply
    572.34x = 789.75 × 323.64
  4. Step 4: Simplify right side
    572.34x = 255,594.69
  5. Step 5: Solve for x
    x = 255,594.69/572.34
  6. Step 6: Final answer
    x = 446.58

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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.