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Finding the Fourth Proportional to 572.42, 789.96 and 323.74

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Solution

The fourth proportional to 572.42, 789.96 and 323.74 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 789.96 = 323.74 : x
  2. Step 2: Convert to fraction form
    572.42/789.96 = 323.74/x
  3. Step 3: Cross multiply
    572.42x = 789.96 × 323.74
  4. Step 4: Simplify right side
    572.42x = 255,741.65
  5. Step 5: Solve for x
    x = 255,741.65/572.42
  6. Step 6: Final answer
    x = 446.77

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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.