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Finding the Fourth Proportional to 498.06, 686.76 and 301.56

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Solution

The fourth proportional to 498.06, 686.76 and 301.56 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 686.76 = 301.56 : x
  2. Step 2: Convert to fraction form
    498.06/686.76 = 301.56/x
  3. Step 3: Cross multiply
    498.06x = 686.76 × 301.56
  4. Step 4: Simplify right side
    498.06x = 207,099.35
  5. Step 5: Solve for x
    x = 207,099.35/498.06
  6. Step 6: Final answer
    x = 415.81

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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.