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Finding the Fourth Proportional to 638.45, 882.59 and 572.84

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Solution

The fourth proportional to 638.45, 882.59 and 572.84 is: 791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.45 : 882.59 = 572.84 : x
  2. Step 2: Convert to fraction form
    638.45/882.59 = 572.84/x
  3. Step 3: Cross multiply
    638.45x = 882.59 × 572.84
  4. Step 4: Simplify right side
    638.45x = 505,582.86
  5. Step 5: Solve for x
    x = 505,582.86/638.45
  6. Step 6: Final answer
    x = 791.89

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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.