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Finding the Fourth Proportional to 377.53, 521.24 and 298.73

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Solution

The fourth proportional to 377.53, 521.24 and 298.73 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.53 : 521.24 = 298.73 : x
  2. Step 2: Convert to fraction form
    377.53/521.24 = 298.73/x
  3. Step 3: Cross multiply
    377.53x = 521.24 × 298.73
  4. Step 4: Simplify right side
    377.53x = 155,709.83
  5. Step 5: Solve for x
    x = 155,709.83/377.53
  6. Step 6: Final answer
    x = 412.45

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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.