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Finding the Fourth Proportional to 409.37, 564.75 and 269.73

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Solution

The fourth proportional to 409.37, 564.75 and 269.73 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 564.75 = 269.73 : x
  2. Step 2: Convert to fraction form
    409.37/564.75 = 269.73/x
  3. Step 3: Cross multiply
    409.37x = 564.75 × 269.73
  4. Step 4: Simplify right side
    409.37x = 152,330.02
  5. Step 5: Solve for x
    x = 152,330.02/409.37
  6. Step 6: Final answer
    x = 372.11

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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.