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Finding the Fourth Proportional to 409.38, 564.85 and 354.54

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Solution

The fourth proportional to 409.38, 564.85 and 354.54 is: 489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 564.85 = 354.54 : x
  2. Step 2: Convert to fraction form
    409.38/564.85 = 354.54/x
  3. Step 3: Cross multiply
    409.38x = 564.85 × 354.54
  4. Step 4: Simplify right side
    409.38x = 200,261.92
  5. Step 5: Solve for x
    x = 200,261.92/409.38
  6. Step 6: Final answer
    x = 489.18

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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.