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Finding the Fourth Proportional to 513.77, 770.82 and 282.36

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Solution

The fourth proportional to 513.77, 770.82 and 282.36 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 770.82 = 282.36 : x
  2. Step 2: Convert to fraction form
    513.77/770.82 = 282.36/x
  3. Step 3: Cross multiply
    513.77x = 770.82 × 282.36
  4. Step 4: Simplify right side
    513.77x = 217,648.74
  5. Step 5: Solve for x
    x = 217,648.74/513.77
  6. Step 6: Final answer
    x = 423.63

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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.