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Finding the Fourth Proportional to 639.50, 882.09 and 473.85

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Solution

The fourth proportional to 639.50, 882.09 and 473.85 is: 653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.50 : 882.09 = 473.85 : x
  2. Step 2: Convert to fraction form
    639.50/882.09 = 473.85/x
  3. Step 3: Cross multiply
    639.50x = 882.09 × 473.85
  4. Step 4: Simplify right side
    639.50x = 417,978.35
  5. Step 5: Solve for x
    x = 417,978.35/639.50
  6. Step 6: Final answer
    x = 653.61

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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.