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Finding the Fourth Proportional to 680.49, 939.47 and 453.54

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Solution

The fourth proportional to 680.49, 939.47 and 453.54 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.49 : 939.47 = 453.54 : x
  2. Step 2: Convert to fraction form
    680.49/939.47 = 453.54/x
  3. Step 3: Cross multiply
    680.49x = 939.47 × 453.54
  4. Step 4: Simplify right side
    680.49x = 426,088.48
  5. Step 5: Solve for x
    x = 426,088.48/680.49
  6. Step 6: Final answer
    x = 626.15

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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.