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Finding the Fourth Proportional to 617.93, 853.06 and 477.74

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Solution

The fourth proportional to 617.93, 853.06 and 477.74 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.93 : 853.06 = 477.74 : x
  2. Step 2: Convert to fraction form
    617.93/853.06 = 477.74/x
  3. Step 3: Cross multiply
    617.93x = 853.06 × 477.74
  4. Step 4: Simplify right side
    617.93x = 407,540.88
  5. Step 5: Solve for x
    x = 407,540.88/617.93
  6. Step 6: Final answer
    x = 659.53

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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.