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Finding the Fourth Proportional to 617.60, 853.10 and 494.12

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Solution

The fourth proportional to 617.60, 853.10 and 494.12 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 853.10 = 494.12 : x
  2. Step 2: Convert to fraction form
    617.60/853.10 = 494.12/x
  3. Step 3: Cross multiply
    617.60x = 853.10 × 494.12
  4. Step 4: Simplify right side
    617.60x = 421,533.77
  5. Step 5: Solve for x
    x = 421,533.77/617.60
  6. Step 6: Final answer
    x = 682.54

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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.