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Finding the Fourth Proportional to 638.52, 882.75 and 540.06

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Solution

The fourth proportional to 638.52, 882.75 and 540.06 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 882.75 = 540.06 : x
  2. Step 2: Convert to fraction form
    638.52/882.75 = 540.06/x
  3. Step 3: Cross multiply
    638.52x = 882.75 × 540.06
  4. Step 4: Simplify right side
    638.52x = 476,737.97
  5. Step 5: Solve for x
    x = 476,737.97/638.52
  6. Step 6: Final answer
    x = 746.63

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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.