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Finding the Fourth Proportional to 572.69, 789.72 and 490.07

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Solution

The fourth proportional to 572.69, 789.72 and 490.07 is: 675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 789.72 = 490.07 : x
  2. Step 2: Convert to fraction form
    572.69/789.72 = 490.07/x
  3. Step 3: Cross multiply
    572.69x = 789.72 × 490.07
  4. Step 4: Simplify right side
    572.69x = 387,018.08
  5. Step 5: Solve for x
    x = 387,018.08/572.69
  6. Step 6: Final answer
    x = 675.79

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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.