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Finding the Fourth Proportional to 409, 564.18 and 298.33

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Solution

The fourth proportional to 409, 564.18 and 298.33 is: 411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564.18 = 298.33 : x
  2. Step 2: Convert to fraction form
    409/564.18 = 298.33/x
  3. Step 3: Cross multiply
    409x = 564.18 × 298.33
  4. Step 4: Simplify right side
    409x = 168,311.82
  5. Step 5: Solve for x
    x = 168,311.82/409
  6. Step 6: Final answer
    x = 411.52

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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.