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Finding the Fourth Proportional to 680.07, 938.71 and 385.53

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Solution

The fourth proportional to 680.07, 938.71 and 385.53 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 938.71 = 385.53 : x
  2. Step 2: Convert to fraction form
    680.07/938.71 = 385.53/x
  3. Step 3: Cross multiply
    680.07x = 938.71 × 385.53
  4. Step 4: Simplify right side
    680.07x = 361,903.56
  5. Step 5: Solve for x
    x = 361,903.56/680.07
  6. Step 6: Final answer
    x = 532.16

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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.