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Finding the Fourth Proportional to 649.88, 976.34 and 406.58

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Solution

The fourth proportional to 649.88, 976.34 and 406.58 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 976.34 = 406.58 : x
  2. Step 2: Convert to fraction form
    649.88/976.34 = 406.58/x
  3. Step 3: Cross multiply
    649.88x = 976.34 × 406.58
  4. Step 4: Simplify right side
    649.88x = 396,960.32
  5. Step 5: Solve for x
    x = 396,960.32/649.88
  6. Step 6: Final answer
    x = 610.82

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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.