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Finding the Fourth Proportional to 367.24, 505.80 and 311.64

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Solution

The fourth proportional to 367.24, 505.80 and 311.64 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.24 : 505.80 = 311.64 : x
  2. Step 2: Convert to fraction form
    367.24/505.80 = 311.64/x
  3. Step 3: Cross multiply
    367.24x = 505.80 × 311.64
  4. Step 4: Simplify right side
    367.24x = 157,627.51
  5. Step 5: Solve for x
    x = 157,627.51/367.24
  6. Step 6: Final answer
    x = 429.22

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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.