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Finding the Fourth Proportional to 411.67, 568.17 and 301.45

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Solution

The fourth proportional to 411.67, 568.17 and 301.45 is: 416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 568.17 = 301.45 : x
  2. Step 2: Convert to fraction form
    411.67/568.17 = 301.45/x
  3. Step 3: Cross multiply
    411.67x = 568.17 × 301.45
  4. Step 4: Simplify right side
    411.67x = 171,274.85
  5. Step 5: Solve for x
    x = 171,274.85/411.67
  6. Step 6: Final answer
    x = 416.05

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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.