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Finding the Fourth Proportional to 377.02, 520.27 and 208.96

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Solution

The fourth proportional to 377.02, 520.27 and 208.96 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.02 : 520.27 = 208.96 : x
  2. Step 2: Convert to fraction form
    377.02/520.27 = 208.96/x
  3. Step 3: Cross multiply
    377.02x = 520.27 × 208.96
  4. Step 4: Simplify right side
    377.02x = 108,716.72
  5. Step 5: Solve for x
    x = 108,716.72/377.02
  6. Step 6: Final answer
    x = 288.36

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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.