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Finding the Fourth Proportional to 572.84, 789.69 and 351.65

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Solution

The fourth proportional to 572.84, 789.69 and 351.65 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 789.69 = 351.65 : x
  2. Step 2: Convert to fraction form
    572.84/789.69 = 351.65/x
  3. Step 3: Cross multiply
    572.84x = 789.69 × 351.65
  4. Step 4: Simplify right side
    572.84x = 277,694.49
  5. Step 5: Solve for x
    x = 277,694.49/572.84
  6. Step 6: Final answer
    x = 484.77

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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.