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Finding the Fourth Proportional to 513.94, 709.36 and 293.01

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Solution

The fourth proportional to 513.94, 709.36 and 293.01 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 709.36 = 293.01 : x
  2. Step 2: Convert to fraction form
    513.94/709.36 = 293.01/x
  3. Step 3: Cross multiply
    513.94x = 709.36 × 293.01
  4. Step 4: Simplify right side
    513.94x = 207,849.57
  5. Step 5: Solve for x
    x = 207,849.57/513.94
  6. Step 6: Final answer
    x = 404.42

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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.