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Finding the Fourth Proportional to 417.03, 625.49 and 200.49

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Solution

The fourth proportional to 417.03, 625.49 and 200.49 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.03 : 625.49 = 200.49 : x
  2. Step 2: Convert to fraction form
    417.03/625.49 = 200.49/x
  3. Step 3: Cross multiply
    417.03x = 625.49 × 200.49
  4. Step 4: Simplify right side
    417.03x = 125,404.49
  5. Step 5: Solve for x
    x = 125,404.49/417.03
  6. Step 6: Final answer
    x = 300.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.