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Finding the Fourth Proportional to 297.52, 445.56 and 253.93

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Solution

The fourth proportional to 297.52, 445.56 and 253.93 is: 380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 445.56 = 253.93 : x
  2. Step 2: Convert to fraction form
    297.52/445.56 = 253.93/x
  3. Step 3: Cross multiply
    297.52x = 445.56 × 253.93
  4. Step 4: Simplify right side
    297.52x = 113,141.05
  5. Step 5: Solve for x
    x = 113,141.05/297.52
  6. Step 6: Final answer
    x = 380.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.