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Finding the Fourth Proportional to 453.62, 625.96 and 257.12

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Solution

The fourth proportional to 453.62, 625.96 and 257.12 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.62 : 625.96 = 257.12 : x
  2. Step 2: Convert to fraction form
    453.62/625.96 = 257.12/x
  3. Step 3: Cross multiply
    453.62x = 625.96 × 257.12
  4. Step 4: Simplify right side
    453.62x = 160,946.84
  5. Step 5: Solve for x
    x = 160,946.84/453.62
  6. Step 6: Final answer
    x = 354.81

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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.