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Finding the Fourth Proportional to 514.21, 709.40 and 293.11

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Solution

The fourth proportional to 514.21, 709.40 and 293.11 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.21 : 709.40 = 293.11 : x
  2. Step 2: Convert to fraction form
    514.21/709.40 = 293.11/x
  3. Step 3: Cross multiply
    514.21x = 709.40 × 293.11
  4. Step 4: Simplify right side
    514.21x = 207,928.99
  5. Step 5: Solve for x
    x = 207,928.99/514.21
  6. Step 6: Final answer
    x = 404.37

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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.