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Finding the Fourth Proportional to 639.24, 882.28 and 415.45

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Solution

The fourth proportional to 639.24, 882.28 and 415.45 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.24 : 882.28 = 415.45 : x
  2. Step 2: Convert to fraction form
    639.24/882.28 = 415.45/x
  3. Step 3: Cross multiply
    639.24x = 882.28 × 415.45
  4. Step 4: Simplify right side
    639.24x = 366,546.75
  5. Step 5: Solve for x
    x = 366,546.75/639.24
  6. Step 6: Final answer
    x = 573.41

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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.