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Finding the Fourth Proportional to 680.91, 939.65 and 415.29

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Solution

The fourth proportional to 680.91, 939.65 and 415.29 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 939.65 = 415.29 : x
  2. Step 2: Convert to fraction form
    680.91/939.65 = 415.29/x
  3. Step 3: Cross multiply
    680.91x = 939.65 × 415.29
  4. Step 4: Simplify right side
    680.91x = 390,227.25
  5. Step 5: Solve for x
    x = 390,227.25/680.91
  6. Step 6: Final answer
    x = 573.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.