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Finding the Fourth Proportional to 442.96, 611.35 and 337.88

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Solution

The fourth proportional to 442.96, 611.35 and 337.88 is: 466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 611.35 = 337.88 : x
  2. Step 2: Convert to fraction form
    442.96/611.35 = 337.88/x
  3. Step 3: Cross multiply
    442.96x = 611.35 × 337.88
  4. Step 4: Simplify right side
    442.96x = 206,562.94
  5. Step 5: Solve for x
    x = 206,562.94/442.96
  6. Step 6: Final answer
    x = 466.32

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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.