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Finding the Fourth Proportional to 514.53, 709.75 and 293.43

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Solution

The fourth proportional to 514.53, 709.75 and 293.43 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 709.75 = 293.43 : x
  2. Step 2: Convert to fraction form
    514.53/709.75 = 293.43/x
  3. Step 3: Cross multiply
    514.53x = 709.75 × 293.43
  4. Step 4: Simplify right side
    514.53x = 208,261.94
  5. Step 5: Solve for x
    x = 208,261.94/514.53
  6. Step 6: Final answer
    x = 404.76

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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.