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Finding the Fourth Proportional to 442.89, 611.20 and 256.44

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Solution

The fourth proportional to 442.89, 611.20 and 256.44 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.89 : 611.20 = 256.44 : x
  2. Step 2: Convert to fraction form
    442.89/611.20 = 256.44/x
  3. Step 3: Cross multiply
    442.89x = 611.20 × 256.44
  4. Step 4: Simplify right side
    442.89x = 156,733.19
  5. Step 5: Solve for x
    x = 156,733.19/442.89
  6. Step 6: Final answer
    x = 353.89

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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.