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Finding the Fourth Proportional to 617.30, 851.96 and 355.27

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Solution

The fourth proportional to 617.30, 851.96 and 355.27 is: 490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 851.96 = 355.27 : x
  2. Step 2: Convert to fraction form
    617.30/851.96 = 355.27/x
  3. Step 3: Cross multiply
    617.30x = 851.96 × 355.27
  4. Step 4: Simplify right side
    617.30x = 302,675.83
  5. Step 5: Solve for x
    x = 302,675.83/617.30
  6. Step 6: Final answer
    x = 490.32

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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.