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Finding the Fourth Proportional to 513.24, 770.21 and 205.10

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Solution

The fourth proportional to 513.24, 770.21 and 205.10 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 770.21 = 205.10 : x
  2. Step 2: Convert to fraction form
    513.24/770.21 = 205.10/x
  3. Step 3: Cross multiply
    513.24x = 770.21 × 205.10
  4. Step 4: Simplify right side
    513.24x = 157,970.07
  5. Step 5: Solve for x
    x = 157,970.07/513.24
  6. Step 6: Final answer
    x = 307.79

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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.