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Finding the Fourth Proportional to 377.14, 520.37 and 253.03

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Solution

The fourth proportional to 377.14, 520.37 and 253.03 is: 349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 520.37 = 253.03 : x
  2. Step 2: Convert to fraction form
    377.14/520.37 = 253.03/x
  3. Step 3: Cross multiply
    377.14x = 520.37 × 253.03
  4. Step 4: Simplify right side
    377.14x = 131,667.96
  5. Step 5: Solve for x
    x = 131,667.96/377.14
  6. Step 6: Final answer
    x = 349.12

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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.