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Finding the Fourth Proportional to 411.48, 568.08 and 327.24

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Solution

The fourth proportional to 411.48, 568.08 and 327.24 is: 451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 568.08 = 327.24 : x
  2. Step 2: Convert to fraction form
    411.48/568.08 = 327.24/x
  3. Step 3: Cross multiply
    411.48x = 568.08 × 327.24
  4. Step 4: Simplify right side
    411.48x = 185,898.50
  5. Step 5: Solve for x
    x = 185,898.50/411.48
  6. Step 6: Final answer
    x = 451.78

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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.