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Finding the Fourth Proportional to 409.04, 564.85 and 261.93

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Solution

The fourth proportional to 409.04, 564.85 and 261.93 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.85 = 261.93 : x
  2. Step 2: Convert to fraction form
    409.04/564.85 = 261.93/x
  3. Step 3: Cross multiply
    409.04x = 564.85 × 261.93
  4. Step 4: Simplify right side
    409.04x = 147,951.07
  5. Step 5: Solve for x
    x = 147,951.07/409.04
  6. Step 6: Final answer
    x = 361.71

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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.