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Finding the Fourth Proportional to 534.77, 737.61 and 324.80

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Solution

The fourth proportional to 534.77, 737.61 and 324.80 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 737.61 = 324.80 : x
  2. Step 2: Convert to fraction form
    534.77/737.61 = 324.80/x
  3. Step 3: Cross multiply
    534.77x = 737.61 × 324.80
  4. Step 4: Simplify right side
    534.77x = 239,572.04
  5. Step 5: Solve for x
    x = 239,572.04/534.77
  6. Step 6: Final answer
    x = 447.99

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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.