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Finding the Fourth Proportional to 572.16, 789.66 and 323.52

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Solution

The fourth proportional to 572.16, 789.66 and 323.52 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 789.66 = 323.52 : x
  2. Step 2: Convert to fraction form
    572.16/789.66 = 323.52/x
  3. Step 3: Cross multiply
    572.16x = 789.66 × 323.52
  4. Step 4: Simplify right side
    572.16x = 255,470.80
  5. Step 5: Solve for x
    x = 255,470.80/572.16
  6. Step 6: Final answer
    x = 446.50

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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.