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Finding the Fourth Proportional to 313.02, 429.14 and 308.23

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Solution

The fourth proportional to 313.02, 429.14 and 308.23 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 429.14 = 308.23 : x
  2. Step 2: Convert to fraction form
    313.02/429.14 = 308.23/x
  3. Step 3: Cross multiply
    313.02x = 429.14 × 308.23
  4. Step 4: Simplify right side
    313.02x = 132,273.52
  5. Step 5: Solve for x
    x = 132,273.52/313.02
  6. Step 6: Final answer
    x = 422.57

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Why These Related Problems?

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