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Finding the Fourth Proportional to 617.54, 852.17 and 381.38

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Solution

The fourth proportional to 617.54, 852.17 and 381.38 is: 526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.54 : 852.17 = 381.38 : x
  2. Step 2: Convert to fraction form
    617.54/852.17 = 381.38/x
  3. Step 3: Cross multiply
    617.54x = 852.17 × 381.38
  4. Step 4: Simplify right side
    617.54x = 324,994.43
  5. Step 5: Solve for x
    x = 324,994.43/617.54
  6. Step 6: Final answer
    x = 526.28

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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.