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Finding the Fourth Proportional to 313.62, 432.97 and 208.85

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Solution

The fourth proportional to 313.62, 432.97 and 208.85 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 432.97 = 208.85 : x
  2. Step 2: Convert to fraction form
    313.62/432.97 = 208.85/x
  3. Step 3: Cross multiply
    313.62x = 432.97 × 208.85
  4. Step 4: Simplify right side
    313.62x = 90,427.39
  5. Step 5: Solve for x
    x = 90,427.39/313.62
  6. Step 6: Final answer
    x = 288.34

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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.