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Finding the Fourth Proportional to 442.84, 610.98 and 311.92

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Solution

The fourth proportional to 442.84, 610.98 and 311.92 is: 430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 610.98 = 311.92 : x
  2. Step 2: Convert to fraction form
    442.84/610.98 = 311.92/x
  3. Step 3: Cross multiply
    442.84x = 610.98 × 311.92
  4. Step 4: Simplify right side
    442.84x = 190,576.88
  5. Step 5: Solve for x
    x = 190,576.88/442.84
  6. Step 6: Final answer
    x = 430.35

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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.