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Finding the Fourth Proportional to 377.66, 521.42 and 237.84

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Solution

The fourth proportional to 377.66, 521.42 and 237.84 is: 328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.66 : 521.42 = 237.84 : x
  2. Step 2: Convert to fraction form
    377.66/521.42 = 237.84/x
  3. Step 3: Cross multiply
    377.66x = 521.42 × 237.84
  4. Step 4: Simplify right side
    377.66x = 124,014.53
  5. Step 5: Solve for x
    x = 124,014.53/377.66
  6. Step 6: Final answer
    x = 328.38

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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.