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Finding the Fourth Proportional to 453.73, 626.01 and 257.20

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Solution

The fourth proportional to 453.73, 626.01 and 257.20 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.73 : 626.01 = 257.20 : x
  2. Step 2: Convert to fraction form
    453.73/626.01 = 257.20/x
  3. Step 3: Cross multiply
    453.73x = 626.01 × 257.20
  4. Step 4: Simplify right side
    453.73x = 161,009.77
  5. Step 5: Solve for x
    x = 161,009.77/453.73
  6. Step 6: Final answer
    x = 354.86

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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.