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Finding the Fourth Proportional to 617.25, 851.81 and 355.35

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Solution

The fourth proportional to 617.25, 851.81 and 355.35 is: 490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 851.81 = 355.35 : x
  2. Step 2: Convert to fraction form
    617.25/851.81 = 355.35/x
  3. Step 3: Cross multiply
    617.25x = 851.81 × 355.35
  4. Step 4: Simplify right side
    617.25x = 302,688.91
  5. Step 5: Solve for x
    x = 302,688.91/617.25
  6. Step 6: Final answer
    x = 490.38

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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.