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Finding the Fourth Proportional to 572.08, 789.46 and 310.09

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Solution

The fourth proportional to 572.08, 789.46 and 310.09 is: 427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.08 : 789.46 = 310.09 : x
  2. Step 2: Convert to fraction form
    572.08/789.46 = 310.09/x
  3. Step 3: Cross multiply
    572.08x = 789.46 × 310.09
  4. Step 4: Simplify right side
    572.08x = 244,803.65
  5. Step 5: Solve for x
    x = 244,803.65/572.08
  6. Step 6: Final answer
    x = 427.92

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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.