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Finding the Fourth Proportional to 617.37, 851.82 and 460.37

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Solution

The fourth proportional to 617.37, 851.82 and 460.37 is: 635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 851.82 = 460.37 : x
  2. Step 2: Convert to fraction form
    617.37/851.82 = 460.37/x
  3. Step 3: Cross multiply
    617.37x = 851.82 × 460.37
  4. Step 4: Simplify right side
    617.37x = 392,148.11
  5. Step 5: Solve for x
    x = 392,148.11/617.37
  6. Step 6: Final answer
    x = 635.19

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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.