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Finding the Fourth Proportional to 497.06, 685.92 and 300.56

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Solution

The fourth proportional to 497.06, 685.92 and 300.56 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 685.92 = 300.56 : x
  2. Step 2: Convert to fraction form
    497.06/685.92 = 300.56/x
  3. Step 3: Cross multiply
    497.06x = 685.92 × 300.56
  4. Step 4: Simplify right side
    497.06x = 206,160.12
  5. Step 5: Solve for x
    x = 206,160.12/497.06
  6. Step 6: Final answer
    x = 414.76

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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.