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Finding the Fourth Proportional to 409, 563.76 and 298.30

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Solution

The fourth proportional to 409, 563.76 and 298.30 is: 411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 563.76 = 298.30 : x
  2. Step 2: Convert to fraction form
    409/563.76 = 298.30/x
  3. Step 3: Cross multiply
    409x = 563.76 × 298.30
  4. Step 4: Simplify right side
    409x = 168,169.61
  5. Step 5: Solve for x
    x = 168,169.61/409
  6. Step 6: Final answer
    x = 411.17

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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.