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Finding the Fourth Proportional to 572.45, 789.98 and 310.46

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Solution

The fourth proportional to 572.45, 789.98 and 310.46 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.45 : 789.98 = 310.46 : x
  2. Step 2: Convert to fraction form
    572.45/789.98 = 310.46/x
  3. Step 3: Cross multiply
    572.45x = 789.98 × 310.46
  4. Step 4: Simplify right side
    572.45x = 245,251.69
  5. Step 5: Solve for x
    x = 245,251.69/572.45
  6. Step 6: Final answer
    x = 428.43

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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.