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Finding the Fourth Proportional to 375.64, 518.35 and 209.84

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Solution

The fourth proportional to 375.64, 518.35 and 209.84 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 518.35 = 209.84 : x
  2. Step 2: Convert to fraction form
    375.64/518.35 = 209.84/x
  3. Step 3: Cross multiply
    375.64x = 518.35 × 209.84
  4. Step 4: Simplify right side
    375.64x = 108,770.76
  5. Step 5: Solve for x
    x = 108,770.76/375.64
  6. Step 6: Final answer
    x = 289.56

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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.