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Finding the Fourth Proportional to 313.31, 431.94 and 208.40

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Solution

The fourth proportional to 313.31, 431.94 and 208.40 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.31 : 431.94 = 208.40 : x
  2. Step 2: Convert to fraction form
    313.31/431.94 = 208.40/x
  3. Step 3: Cross multiply
    313.31x = 431.94 × 208.40
  4. Step 4: Simplify right side
    313.31x = 90,017.38
  5. Step 5: Solve for x
    x = 90,017.38/313.31
  6. Step 6: Final answer
    x = 287.31

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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.