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Finding the Fourth Proportional to 442.71, 611.13 and 337.83

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Solution

The fourth proportional to 442.71, 611.13 and 337.83 is: 466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 611.13 = 337.83 : x
  2. Step 2: Convert to fraction form
    442.71/611.13 = 337.83/x
  3. Step 3: Cross multiply
    442.71x = 611.13 × 337.83
  4. Step 4: Simplify right side
    442.71x = 206,458.05
  5. Step 5: Solve for x
    x = 206,458.05/442.71
  6. Step 6: Final answer
    x = 466.35

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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.