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Finding the Fourth Proportional to 363.99, 502.34 and 305.67

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Solution

The fourth proportional to 363.99, 502.34 and 305.67 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.99 : 502.34 = 305.67 : x
  2. Step 2: Convert to fraction form
    363.99/502.34 = 305.67/x
  3. Step 3: Cross multiply
    363.99x = 502.34 × 305.67
  4. Step 4: Simplify right side
    363.99x = 153,548.74
  5. Step 5: Solve for x
    x = 153,548.74/363.99
  6. Step 6: Final answer
    x = 421.85

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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.