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Finding the Fourth Proportional to 680.67, 938.91 and 418.50

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Solution

The fourth proportional to 680.67, 938.91 and 418.50 is: 577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 938.91 = 418.50 : x
  2. Step 2: Convert to fraction form
    680.67/938.91 = 418.50/x
  3. Step 3: Cross multiply
    680.67x = 938.91 × 418.50
  4. Step 4: Simplify right side
    680.67x = 392,933.84
  5. Step 5: Solve for x
    x = 392,933.84/680.67
  6. Step 6: Final answer
    x = 577.28

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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.