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Finding the Fourth Proportional to 498.01, 686.78 and 329.70

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Solution

The fourth proportional to 498.01, 686.78 and 329.70 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.01 : 686.78 = 329.70 : x
  2. Step 2: Convert to fraction form
    498.01/686.78 = 329.70/x
  3. Step 3: Cross multiply
    498.01x = 686.78 × 329.70
  4. Step 4: Simplify right side
    498.01x = 226,431.33
  5. Step 5: Solve for x
    x = 226,431.33/498.01
  6. Step 6: Final answer
    x = 454.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.