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Finding the Fourth Proportional to 680.09, 938.53 and 369.59

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Solution

The fourth proportional to 680.09, 938.53 and 369.59 is: 510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.09 : 938.53 = 369.59 : x
  2. Step 2: Convert to fraction form
    680.09/938.53 = 369.59/x
  3. Step 3: Cross multiply
    680.09x = 938.53 × 369.59
  4. Step 4: Simplify right side
    680.09x = 346,869.45
  5. Step 5: Solve for x
    x = 346,869.45/680.09
  6. Step 6: Final answer
    x = 510.03

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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.