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Finding the Fourth Proportional to 377.65, 521.10 and 237.70

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Solution

The fourth proportional to 377.65, 521.10 and 237.70 is: 327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.65 : 521.10 = 237.70 : x
  2. Step 2: Convert to fraction form
    377.65/521.10 = 237.70/x
  3. Step 3: Cross multiply
    377.65x = 521.10 × 237.70
  4. Step 4: Simplify right side
    377.65x = 123,865.47
  5. Step 5: Solve for x
    x = 123,865.47/377.65
  6. Step 6: Final answer
    x = 327.99

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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.