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Finding the Fourth Proportional to 638.89, 882.50 and 491.27

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Solution

The fourth proportional to 638.89, 882.50 and 491.27 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.89 : 882.50 = 491.27 : x
  2. Step 2: Convert to fraction form
    638.89/882.50 = 491.27/x
  3. Step 3: Cross multiply
    638.89x = 882.50 × 491.27
  4. Step 4: Simplify right side
    638.89x = 433,538.91
  5. Step 5: Solve for x
    x = 433,538.91/638.89
  6. Step 6: Final answer
    x = 678.58

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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.