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Finding the Fourth Proportional to 453.67, 680.13 and 388.42

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Solution

The fourth proportional to 453.67, 680.13 and 388.42 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.67 : 680.13 = 388.42 : x
  2. Step 2: Convert to fraction form
    453.67/680.13 = 388.42/x
  3. Step 3: Cross multiply
    453.67x = 680.13 × 388.42
  4. Step 4: Simplify right side
    453.67x = 264,176.09
  5. Step 5: Solve for x
    x = 264,176.09/453.67
  6. Step 6: Final answer
    x = 582.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.