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Finding the Fourth Proportional to 572.50, 789.85 and 376.14

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Solution

The fourth proportional to 572.50, 789.85 and 376.14 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.50 : 789.85 = 376.14 : x
  2. Step 2: Convert to fraction form
    572.50/789.85 = 376.14/x
  3. Step 3: Cross multiply
    572.50x = 789.85 × 376.14
  4. Step 4: Simplify right side
    572.50x = 297,097.61
  5. Step 5: Solve for x
    x = 297,097.61/572.50
  6. Step 6: Final answer
    x = 518.95

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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.