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Finding the Fourth Proportional to 617.74, 852.18 and 381.49

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Solution

The fourth proportional to 617.74, 852.18 and 381.49 is: 526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.74 : 852.18 = 381.49 : x
  2. Step 2: Convert to fraction form
    617.74/852.18 = 381.49/x
  3. Step 3: Cross multiply
    617.74x = 852.18 × 381.49
  4. Step 4: Simplify right side
    617.74x = 325,098.15
  5. Step 5: Solve for x
    x = 325,098.15/617.74
  6. Step 6: Final answer
    x = 526.27

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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.