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Finding the Fourth Proportional to 377.58, 520.84 and 237.65

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Solution

The fourth proportional to 377.58, 520.84 and 237.65 is: 327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 520.84 = 237.65 : x
  2. Step 2: Convert to fraction form
    377.58/520.84 = 237.65/x
  3. Step 3: Cross multiply
    377.58x = 520.84 × 237.65
  4. Step 4: Simplify right side
    377.58x = 123,777.63
  5. Step 5: Solve for x
    x = 123,777.63/377.58
  6. Step 6: Final answer
    x = 327.82

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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.