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Finding the Fourth Proportional to 534.74, 737.42 and 324.96

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Solution

The fourth proportional to 534.74, 737.42 and 324.96 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 737.42 = 324.96 : x
  2. Step 2: Convert to fraction form
    534.74/737.42 = 324.96/x
  3. Step 3: Cross multiply
    534.74x = 737.42 × 324.96
  4. Step 4: Simplify right side
    534.74x = 239,632.00
  5. Step 5: Solve for x
    x = 239,632.00/534.74
  6. Step 6: Final answer
    x = 448.13

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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.