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Finding the Fourth Proportional to 497.94, 687.27 and 301.41

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Solution

The fourth proportional to 497.94, 687.27 and 301.41 is: 416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.94 : 687.27 = 301.41 : x
  2. Step 2: Convert to fraction form
    497.94/687.27 = 301.41/x
  3. Step 3: Cross multiply
    497.94x = 687.27 × 301.41
  4. Step 4: Simplify right side
    497.94x = 207,150.05
  5. Step 5: Solve for x
    x = 207,150.05/497.94
  6. Step 6: Final answer
    x = 416.01

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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.