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Finding the Fourth Proportional to 617.85, 852.62 and 338.10

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Solution

The fourth proportional to 617.85, 852.62 and 338.10 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.85 : 852.62 = 338.10 : x
  2. Step 2: Convert to fraction form
    617.85/852.62 = 338.10/x
  3. Step 3: Cross multiply
    617.85x = 852.62 × 338.10
  4. Step 4: Simplify right side
    617.85x = 288,270.82
  5. Step 5: Solve for x
    x = 288,270.82/617.85
  6. Step 6: Final answer
    x = 466.57

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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.