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Finding the Fourth Proportional to 617.60, 852.14 and 396.48

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Solution

The fourth proportional to 617.60, 852.14 and 396.48 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 852.14 = 396.48 : x
  2. Step 2: Convert to fraction form
    617.60/852.14 = 396.48/x
  3. Step 3: Cross multiply
    617.60x = 852.14 × 396.48
  4. Step 4: Simplify right side
    617.60x = 337,856.47
  5. Step 5: Solve for x
    x = 337,856.47/617.60
  6. Step 6: Final answer
    x = 547.05

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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.