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Finding the Fourth Proportional to 513.99, 770.93 and 221.48

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Solution

The fourth proportional to 513.99, 770.93 and 221.48 is: 332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 770.93 = 221.48 : x
  2. Step 2: Convert to fraction form
    513.99/770.93 = 221.48/x
  3. Step 3: Cross multiply
    513.99x = 770.93 × 221.48
  4. Step 4: Simplify right side
    513.99x = 170,742.17
  5. Step 5: Solve for x
    x = 170,742.17/513.99
  6. Step 6: Final answer
    x = 332.19

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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.