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Finding the Fourth Proportional to 363.49, 499.01 and 313.67

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Solution

The fourth proportional to 363.49, 499.01 and 313.67 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.49 : 499.01 = 313.67 : x
  2. Step 2: Convert to fraction form
    363.49/499.01 = 313.67/x
  3. Step 3: Cross multiply
    363.49x = 499.01 × 313.67
  4. Step 4: Simplify right side
    363.49x = 156,525.91
  5. Step 5: Solve for x
    x = 156,525.91/363.49
  6. Step 6: Final answer
    x = 430.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.