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Finding the Fourth Proportional to 409.17, 564.13 and 261.55

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Solution

The fourth proportional to 409.17, 564.13 and 261.55 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.17 : 564.13 = 261.55 : x
  2. Step 2: Convert to fraction form
    409.17/564.13 = 261.55/x
  3. Step 3: Cross multiply
    409.17x = 564.13 × 261.55
  4. Step 4: Simplify right side
    409.17x = 147,549.23
  5. Step 5: Solve for x
    x = 147,549.23/409.17
  6. Step 6: Final answer
    x = 360.60

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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.