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Finding the Fourth Proportional to 497.56, 686.69 and 301.07

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Solution

The fourth proportional to 497.56, 686.69 and 301.07 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 686.69 = 301.07 : x
  2. Step 2: Convert to fraction form
    497.56/686.69 = 301.07/x
  3. Step 3: Cross multiply
    497.56x = 686.69 × 301.07
  4. Step 4: Simplify right side
    497.56x = 206,736.82
  5. Step 5: Solve for x
    x = 206,736.82/497.56
  6. Step 6: Final answer
    x = 415.50

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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.