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Finding the Fourth Proportional to 417.81, 626.75 and 129.25

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Solution

The fourth proportional to 417.81, 626.75 and 129.25 is: 193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 626.75 = 129.25 : x
  2. Step 2: Convert to fraction form
    417.81/626.75 = 129.25/x
  3. Step 3: Cross multiply
    417.81x = 626.75 × 129.25
  4. Step 4: Simplify right side
    417.81x = 81,007.44
  5. Step 5: Solve for x
    x = 81,007.44/417.81
  6. Step 6: Final answer
    x = 193.89

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Why These Related Problems?

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