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Finding the Fourth Proportional to 617.86, 852.66 and 338.10

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Solution

The fourth proportional to 617.86, 852.66 and 338.10 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.86 : 852.66 = 338.10 : x
  2. Step 2: Convert to fraction form
    617.86/852.66 = 338.10/x
  3. Step 3: Cross multiply
    617.86x = 852.66 × 338.10
  4. Step 4: Simplify right side
    617.86x = 288,284.35
  5. Step 5: Solve for x
    x = 288,284.35/617.86
  6. Step 6: Final answer
    x = 466.59

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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.