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Finding the Fourth Proportional to 442.26, 610.02 and 311.46

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Solution

The fourth proportional to 442.26, 610.02 and 311.46 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 610.02 = 311.46 : x
  2. Step 2: Convert to fraction form
    442.26/610.02 = 311.46/x
  3. Step 3: Cross multiply
    442.26x = 610.02 × 311.46
  4. Step 4: Simplify right side
    442.26x = 189,996.83
  5. Step 5: Solve for x
    x = 189,996.83/442.26
  6. Step 6: Final answer
    x = 429.60

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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.