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Finding the Fourth Proportional to 617.46, 851.93 and 418.39

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Solution

The fourth proportional to 617.46, 851.93 and 418.39 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 851.93 = 418.39 : x
  2. Step 2: Convert to fraction form
    617.46/851.93 = 418.39/x
  3. Step 3: Cross multiply
    617.46x = 851.93 × 418.39
  4. Step 4: Simplify right side
    617.46x = 356,438.99
  5. Step 5: Solve for x
    x = 356,438.99/617.46
  6. Step 6: Final answer
    x = 577.27

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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.