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Finding the Fourth Proportional to 532.21, 735.12 and 409.36

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Solution

The fourth proportional to 532.21, 735.12 and 409.36 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.21 : 735.12 = 409.36 : x
  2. Step 2: Convert to fraction form
    532.21/735.12 = 409.36/x
  3. Step 3: Cross multiply
    532.21x = 735.12 × 409.36
  4. Step 4: Simplify right side
    532.21x = 300,928.72
  5. Step 5: Solve for x
    x = 300,928.72/532.21
  6. Step 6: Final answer
    x = 565.43

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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.