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Finding the Fourth Proportional to 497.23, 685.97 and 300.77

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Solution

The fourth proportional to 497.23, 685.97 and 300.77 is: 414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 685.97 = 300.77 : x
  2. Step 2: Convert to fraction form
    497.23/685.97 = 300.77/x
  3. Step 3: Cross multiply
    497.23x = 685.97 × 300.77
  4. Step 4: Simplify right side
    497.23x = 206,317.96
  5. Step 5: Solve for x
    x = 206,317.96/497.23
  6. Step 6: Final answer
    x = 414.94

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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.