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Finding the Fourth Proportional to 453.37, 625.67 and 320.83

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Solution

The fourth proportional to 453.37, 625.67 and 320.83 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.37 : 625.67 = 320.83 : x
  2. Step 2: Convert to fraction form
    453.37/625.67 = 320.83/x
  3. Step 3: Cross multiply
    453.37x = 625.67 × 320.83
  4. Step 4: Simplify right side
    453.37x = 200,730.84
  5. Step 5: Solve for x
    x = 200,730.84/453.37
  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.