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Finding the Fourth Proportional to 409.08, 564.04 and 261.36

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Solution

The fourth proportional to 409.08, 564.04 and 261.36 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 564.04 = 261.36 : x
  2. Step 2: Convert to fraction form
    409.08/564.04 = 261.36/x
  3. Step 3: Cross multiply
    409.08x = 564.04 × 261.36
  4. Step 4: Simplify right side
    409.08x = 147,417.49
  5. Step 5: Solve for x
    x = 147,417.49/409.08
  6. Step 6: Final answer
    x = 360.36

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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.