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Finding the Fourth Proportional to 617.60, 852.11 and 355.57

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Solution

The fourth proportional to 617.60, 852.11 and 355.57 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 852.11 = 355.57 : x
  2. Step 2: Convert to fraction form
    617.60/852.11 = 355.57/x
  3. Step 3: Cross multiply
    617.60x = 852.11 × 355.57
  4. Step 4: Simplify right side
    617.60x = 302,984.75
  5. Step 5: Solve for x
    x = 302,984.75/617.60
  6. Step 6: Final answer
    x = 490.58

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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.