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Finding the Fourth Proportional to 453.95, 625.68 and 321.23

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Solution

The fourth proportional to 453.95, 625.68 and 321.23 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.95 : 625.68 = 321.23 : x
  2. Step 2: Convert to fraction form
    453.95/625.68 = 321.23/x
  3. Step 3: Cross multiply
    453.95x = 625.68 × 321.23
  4. Step 4: Simplify right side
    453.95x = 200,984.06
  5. Step 5: Solve for x
    x = 200,984.06/453.95
  6. Step 6: Final answer
    x = 442.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.