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Finding the Fourth Proportional to 409.12, 564.60 and 292.90

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Solution

The fourth proportional to 409.12, 564.60 and 292.90 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 564.60 = 292.90 : x
  2. Step 2: Convert to fraction form
    409.12/564.60 = 292.90/x
  3. Step 3: Cross multiply
    409.12x = 564.60 × 292.90
  4. Step 4: Simplify right side
    409.12x = 165,371.34
  5. Step 5: Solve for x
    x = 165,371.34/409.12
  6. Step 6: Final answer
    x = 404.21

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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.