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Finding the Fourth Proportional to 680.40, 938.64 and 470.64

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Solution

The fourth proportional to 680.40, 938.64 and 470.64 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 938.64 = 470.64 : x
  2. Step 2: Convert to fraction form
    680.40/938.64 = 470.64/x
  3. Step 3: Cross multiply
    680.40x = 938.64 × 470.64
  4. Step 4: Simplify right side
    680.40x = 441,761.53
  5. Step 5: Solve for x
    x = 441,761.53/680.40
  6. Step 6: Final answer
    x = 649.27

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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.