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Finding the Fourth Proportional to 617.50, 852.25 and 355.47

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Solution

The fourth proportional to 617.50, 852.25 and 355.47 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 852.25 = 355.47 : x
  2. Step 2: Convert to fraction form
    617.50/852.25 = 355.47/x
  3. Step 3: Cross multiply
    617.50x = 852.25 × 355.47
  4. Step 4: Simplify right side
    617.50x = 302,949.31
  5. Step 5: Solve for x
    x = 302,949.31/617.50
  6. Step 6: Final answer
    x = 490.61

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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.