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Finding the Fourth Proportional to 337.06, 464.12 and 287.83

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Solution

The fourth proportional to 337.06, 464.12 and 287.83 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.06 : 464.12 = 287.83 : x
  2. Step 2: Convert to fraction form
    337.06/464.12 = 287.83/x
  3. Step 3: Cross multiply
    337.06x = 464.12 × 287.83
  4. Step 4: Simplify right side
    337.06x = 133,586.14
  5. Step 5: Solve for x
    x = 133,586.14/337.06
  6. Step 6: Final answer
    x = 396.33

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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.