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Finding the Fourth Proportional to 513.89, 770.84 and 240.17

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Solution

The fourth proportional to 513.89, 770.84 and 240.17 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.89 : 770.84 = 240.17 : x
  2. Step 2: Convert to fraction form
    513.89/770.84 = 240.17/x
  3. Step 3: Cross multiply
    513.89x = 770.84 × 240.17
  4. Step 4: Simplify right side
    513.89x = 185,134.27
  5. Step 5: Solve for x
    x = 185,134.27/513.89
  6. Step 6: Final answer
    x = 360.26

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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.