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Finding the Fourth Proportional to 313.02, 431.43 and 286.86

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Solution

The fourth proportional to 313.02, 431.43 and 286.86 is: 395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 431.43 = 286.86 : x
  2. Step 2: Convert to fraction form
    313.02/431.43 = 286.86/x
  3. Step 3: Cross multiply
    313.02x = 431.43 × 286.86
  4. Step 4: Simplify right side
    313.02x = 123,760.01
  5. Step 5: Solve for x
    x = 123,760.01/313.02
  6. Step 6: Final answer
    x = 395.37

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Why These Related Problems?

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