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Finding the Fourth Proportional to 409.04, 563.68 and 261.41

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Solution

The fourth proportional to 409.04, 563.68 and 261.41 is: 360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 563.68 = 261.41 : x
  2. Step 2: Convert to fraction form
    409.04/563.68 = 261.41/x
  3. Step 3: Cross multiply
    409.04x = 563.68 × 261.41
  4. Step 4: Simplify right side
    409.04x = 147,352.34
  5. Step 5: Solve for x
    x = 147,352.34/409.04
  6. Step 6: Final answer
    x = 360.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.