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Finding the Fourth Proportional to 513.45, 709.09 and 421.11

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Solution

The fourth proportional to 513.45, 709.09 and 421.11 is: 581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 709.09 = 421.11 : x
  2. Step 2: Convert to fraction form
    513.45/709.09 = 421.11/x
  3. Step 3: Cross multiply
    513.45x = 709.09 × 421.11
  4. Step 4: Simplify right side
    513.45x = 298,603.84
  5. Step 5: Solve for x
    x = 298,603.84/513.45
  6. Step 6: Final answer
    x = 581.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.