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Finding the Fourth Proportional to 411.70, 568.20 and 301.54

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Solution

The fourth proportional to 411.70, 568.20 and 301.54 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.70 : 568.20 = 301.54 : x
  2. Step 2: Convert to fraction form
    411.70/568.20 = 301.54/x
  3. Step 3: Cross multiply
    411.70x = 568.20 × 301.54
  4. Step 4: Simplify right side
    411.70x = 171,335.03
  5. Step 5: Solve for x
    x = 171,335.03/411.70
  6. Step 6: Final answer
    x = 416.16

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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.