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Finding the Fourth Proportional to 513.75, 770.72 and 270.21

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Solution

The fourth proportional to 513.75, 770.72 and 270.21 is: 405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 770.72 = 270.21 : x
  2. Step 2: Convert to fraction form
    513.75/770.72 = 270.21/x
  3. Step 3: Cross multiply
    513.75x = 770.72 × 270.21
  4. Step 4: Simplify right side
    513.75x = 208,254.90
  5. Step 5: Solve for x
    x = 208,254.90/513.75
  6. Step 6: Final answer
    x = 405.36

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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.