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Finding the Fourth Proportional to 377.59, 521.16 and 253.61

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Solution

The fourth proportional to 377.59, 521.16 and 253.61 is: 350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.59 : 521.16 = 253.61 : x
  2. Step 2: Convert to fraction form
    377.59/521.16 = 253.61/x
  3. Step 3: Cross multiply
    377.59x = 521.16 × 253.61
  4. Step 4: Simplify right side
    377.59x = 132,169.03
  5. Step 5: Solve for x
    x = 132,169.03/377.59
  6. Step 6: Final answer
    x = 350.04

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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.