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Finding the Fourth Proportional to 514.14, 709.46 and 293.03

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Solution

The fourth proportional to 514.14, 709.46 and 293.03 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 709.46 = 293.03 : x
  2. Step 2: Convert to fraction form
    514.14/709.46 = 293.03/x
  3. Step 3: Cross multiply
    514.14x = 709.46 × 293.03
  4. Step 4: Simplify right side
    514.14x = 207,888.05
  5. Step 5: Solve for x
    x = 207,888.05/514.14
  6. Step 6: Final answer
    x = 404.34

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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.