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Finding the Fourth Proportional to 617.08, 853.76 and 523.52

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Solution

The fourth proportional to 617.08, 853.76 and 523.52 is: 724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 853.76 = 523.52 : x
  2. Step 2: Convert to fraction form
    617.08/853.76 = 523.52/x
  3. Step 3: Cross multiply
    617.08x = 853.76 × 523.52
  4. Step 4: Simplify right side
    617.08x = 446,960.44
  5. Step 5: Solve for x
    x = 446,960.44/617.08
  6. Step 6: Final answer
    x = 724.32

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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.