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Finding the Fourth Proportional to 442.24, 610.40 and 311.29

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Solution

The fourth proportional to 442.24, 610.40 and 311.29 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 610.40 = 311.29 : x
  2. Step 2: Convert to fraction form
    442.24/610.40 = 311.29/x
  3. Step 3: Cross multiply
    442.24x = 610.40 × 311.29
  4. Step 4: Simplify right side
    442.24x = 190,011.42
  5. Step 5: Solve for x
    x = 190,011.42/442.24
  6. Step 6: Final answer
    x = 429.66

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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.