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Finding the Fourth Proportional to 453.50, 625.92 and 257.03

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Solution

The fourth proportional to 453.50, 625.92 and 257.03 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.50 : 625.92 = 257.03 : x
  2. Step 2: Convert to fraction form
    453.50/625.92 = 257.03/x
  3. Step 3: Cross multiply
    453.50x = 625.92 × 257.03
  4. Step 4: Simplify right side
    453.50x = 160,880.22
  5. Step 5: Solve for x
    x = 160,880.22/453.50
  6. Step 6: Final answer
    x = 354.75

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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.