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Finding the Fourth Proportional to 648.84, 973.32 and 406.92

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Solution

The fourth proportional to 648.84, 973.32 and 406.92 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 973.32 = 406.92 : x
  2. Step 2: Convert to fraction form
    648.84/973.32 = 406.92/x
  3. Step 3: Cross multiply
    648.84x = 973.32 × 406.92
  4. Step 4: Simplify right side
    648.84x = 396,063.37
  5. Step 5: Solve for x
    x = 396,063.37/648.84
  6. Step 6: Final answer
    x = 610.42

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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.