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Finding the Fourth Proportional to 513.06, 770.82 and 442.62

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Solution

The fourth proportional to 513.06, 770.82 and 442.62 is: 664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 770.82 = 442.62 : x
  2. Step 2: Convert to fraction form
    513.06/770.82 = 442.62/x
  3. Step 3: Cross multiply
    513.06x = 770.82 × 442.62
  4. Step 4: Simplify right side
    513.06x = 341,180.35
  5. Step 5: Solve for x
    x = 341,180.35/513.06
  6. Step 6: Final answer
    x = 664.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.