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Finding the Fourth Proportional to 453.69, 626.04 and 257.21

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Solution

The fourth proportional to 453.69, 626.04 and 257.21 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 626.04 = 257.21 : x
  2. Step 2: Convert to fraction form
    453.69/626.04 = 257.21/x
  3. Step 3: Cross multiply
    453.69x = 626.04 × 257.21
  4. Step 4: Simplify right side
    453.69x = 161,023.75
  5. Step 5: Solve for x
    x = 161,023.75/453.69
  6. Step 6: Final answer
    x = 354.92

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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.