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Finding the Fourth Proportional to 617.26, 852.02 and 381.28

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Solution

The fourth proportional to 617.26, 852.02 and 381.28 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.26 : 852.02 = 381.28 : x
  2. Step 2: Convert to fraction form
    617.26/852.02 = 381.28/x
  3. Step 3: Cross multiply
    617.26x = 852.02 × 381.28
  4. Step 4: Simplify right side
    617.26x = 324,858.19
  5. Step 5: Solve for x
    x = 324,858.19/617.26
  6. Step 6: Final answer
    x = 526.29

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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.