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Finding the Fourth Proportional to 680.58, 939.32 and 400.83

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Solution

The fourth proportional to 680.58, 939.32 and 400.83 is: 553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.58 : 939.32 = 400.83 : x
  2. Step 2: Convert to fraction form
    680.58/939.32 = 400.83/x
  3. Step 3: Cross multiply
    680.58x = 939.32 × 400.83
  4. Step 4: Simplify right side
    680.58x = 376,505.63
  5. Step 5: Solve for x
    x = 376,505.63/680.58
  6. Step 6: Final answer
    x = 553.21

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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.