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Finding the Fourth Proportional to 532.36, 799.04 and 411.92

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Solution

The fourth proportional to 532.36, 799.04 and 411.92 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.36 : 799.04 = 411.92 : x
  2. Step 2: Convert to fraction form
    532.36/799.04 = 411.92/x
  3. Step 3: Cross multiply
    532.36x = 799.04 × 411.92
  4. Step 4: Simplify right side
    532.36x = 329,140.56
  5. Step 5: Solve for x
    x = 329,140.56/532.36
  6. Step 6: Final answer
    x = 618.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.