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Finding the Fourth Proportional to 561.38, 774.17 and 428.37

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Solution

The fourth proportional to 561.38, 774.17 and 428.37 is: 590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.38 : 774.17 = 428.37 : x
  2. Step 2: Convert to fraction form
    561.38/774.17 = 428.37/x
  3. Step 3: Cross multiply
    561.38x = 774.17 × 428.37
  4. Step 4: Simplify right side
    561.38x = 331,629.06
  5. Step 5: Solve for x
    x = 331,629.06/561.38
  6. Step 6: Final answer
    x = 590.74

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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.