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Finding the Fourth Proportional to 411.63, 568.26 and 301.34

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Solution

The fourth proportional to 411.63, 568.26 and 301.34 is: 416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 568.26 = 301.34 : x
  2. Step 2: Convert to fraction form
    411.63/568.26 = 301.34/x
  3. Step 3: Cross multiply
    411.63x = 568.26 × 301.34
  4. Step 4: Simplify right side
    411.63x = 171,236.63
  5. Step 5: Solve for x
    x = 171,236.63/411.63
  6. Step 6: Final answer
    x = 416.00

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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.