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Finding the Fourth Proportional to 639.50, 882.76 and 418.64

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Solution

The fourth proportional to 639.50, 882.76 and 418.64 is: 577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.50 : 882.76 = 418.64 : x
  2. Step 2: Convert to fraction form
    639.50/882.76 = 418.64/x
  3. Step 3: Cross multiply
    639.50x = 882.76 × 418.64
  4. Step 4: Simplify right side
    639.50x = 369,558.65
  5. Step 5: Solve for x
    x = 369,558.65/639.50
  6. Step 6: Final answer
    x = 577.89

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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.