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Finding the Fourth Proportional to 412.10, 568.31 and 301.67

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Solution

The fourth proportional to 412.10, 568.31 and 301.67 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 568.31 = 301.67 : x
  2. Step 2: Convert to fraction form
    412.10/568.31 = 301.67/x
  3. Step 3: Cross multiply
    412.10x = 568.31 × 301.67
  4. Step 4: Simplify right side
    412.10x = 171,437.73
  5. Step 5: Solve for x
    x = 171,437.73/412.10
  6. Step 6: Final answer
    x = 416.02

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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.