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Finding the Fourth Proportional to 409.52, 564.84 and 269.40

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Solution

The fourth proportional to 409.52, 564.84 and 269.40 is: 371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 564.84 = 269.40 : x
  2. Step 2: Convert to fraction form
    409.52/564.84 = 269.40/x
  3. Step 3: Cross multiply
    409.52x = 564.84 × 269.40
  4. Step 4: Simplify right side
    409.52x = 152,167.90
  5. Step 5: Solve for x
    x = 152,167.90/409.52
  6. Step 6: Final answer
    x = 371.58

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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.