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Finding the Fourth Proportional to 572.80, 789.92 and 376.40

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Solution

The fourth proportional to 572.80, 789.92 and 376.40 is: 519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 789.92 = 376.40 : x
  2. Step 2: Convert to fraction form
    572.80/789.92 = 376.40/x
  3. Step 3: Cross multiply
    572.80x = 789.92 × 376.40
  4. Step 4: Simplify right side
    572.80x = 297,325.89
  5. Step 5: Solve for x
    x = 297,325.89/572.80
  6. Step 6: Final answer
    x = 519.07

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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.