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Finding the Fourth Proportional to 372.87, 559.24 and 208.51

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Solution

The fourth proportional to 372.87, 559.24 and 208.51 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.87 : 559.24 = 208.51 : x
  2. Step 2: Convert to fraction form
    372.87/559.24 = 208.51/x
  3. Step 3: Cross multiply
    372.87x = 559.24 × 208.51
  4. Step 4: Simplify right side
    372.87x = 116,604.86
  5. Step 5: Solve for x
    x = 116,604.86/372.87
  6. Step 6: Final answer
    x = 312.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.