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Finding the Fourth Proportional to 617.78, 852.59 and 352.31

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Solution

The fourth proportional to 617.78, 852.59 and 352.31 is: 486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 852.59 = 352.31 : x
  2. Step 2: Convert to fraction form
    617.78/852.59 = 352.31/x
  3. Step 3: Cross multiply
    617.78x = 852.59 × 352.31
  4. Step 4: Simplify right side
    617.78x = 300,371.72
  5. Step 5: Solve for x
    x = 300,371.72/617.78
  6. Step 6: Final answer
    x = 486.21

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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.