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Finding the Fourth Proportional to 383.56, 529.31 and 208.90

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Solution

The fourth proportional to 383.56, 529.31 and 208.90 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.56 : 529.31 = 208.90 : x
  2. Step 2: Convert to fraction form
    383.56/529.31 = 208.90/x
  3. Step 3: Cross multiply
    383.56x = 529.31 × 208.90
  4. Step 4: Simplify right side
    383.56x = 110,574.04
  5. Step 5: Solve for x
    x = 110,574.04/383.56
  6. Step 6: Final answer
    x = 288.29

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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.