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Finding the Fourth Proportional to 649.44, 973.26 and 405.54

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Solution

The fourth proportional to 649.44, 973.26 and 405.54 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 973.26 = 405.54 : x
  2. Step 2: Convert to fraction form
    649.44/973.26 = 405.54/x
  3. Step 3: Cross multiply
    649.44x = 973.26 × 405.54
  4. Step 4: Simplify right side
    649.44x = 394,695.86
  5. Step 5: Solve for x
    x = 394,695.86/649.44
  6. Step 6: Final answer
    x = 607.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.