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Finding the Fourth Proportional to 617.96, 852.56 and 397.03

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Solution

The fourth proportional to 617.96, 852.56 and 397.03 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 852.56 = 397.03 : x
  2. Step 2: Convert to fraction form
    617.96/852.56 = 397.03/x
  3. Step 3: Cross multiply
    617.96x = 852.56 × 397.03
  4. Step 4: Simplify right side
    617.96x = 338,491.90
  5. Step 5: Solve for x
    x = 338,491.90/617.96
  6. Step 6: Final answer
    x = 547.76

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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.