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Finding the Fourth Proportional to 409.41, 564.08 and 269.28

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Solution

The fourth proportional to 409.41, 564.08 and 269.28 is: 371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 564.08 = 269.28 : x
  2. Step 2: Convert to fraction form
    409.41/564.08 = 269.28/x
  3. Step 3: Cross multiply
    409.41x = 564.08 × 269.28
  4. Step 4: Simplify right side
    409.41x = 151,897.22
  5. Step 5: Solve for x
    x = 151,897.22/409.41
  6. Step 6: Final answer
    x = 371.01

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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.