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Finding the Fourth Proportional to 453.63, 625.98 and 257.14

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Solution

The fourth proportional to 453.63, 625.98 and 257.14 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.63 : 625.98 = 257.14 : x
  2. Step 2: Convert to fraction form
    453.63/625.98 = 257.14/x
  3. Step 3: Cross multiply
    453.63x = 625.98 × 257.14
  4. Step 4: Simplify right side
    453.63x = 160,964.80
  5. Step 5: Solve for x
    x = 160,964.80/453.63
  6. Step 6: Final answer
    x = 354.83

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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.