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Finding the Fourth Proportional to 513.89, 709.11 and 304.05

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Solution

The fourth proportional to 513.89, 709.11 and 304.05 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.89 : 709.11 = 304.05 : x
  2. Step 2: Convert to fraction form
    513.89/709.11 = 304.05/x
  3. Step 3: Cross multiply
    513.89x = 709.11 × 304.05
  4. Step 4: Simplify right side
    513.89x = 215,607.55
  5. Step 5: Solve for x
    x = 215,607.55/513.89
  6. Step 6: Final answer
    x = 419.56

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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.