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Finding the Fourth Proportional to 514.30, 709.72 and 293.31

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Solution

The fourth proportional to 514.30, 709.72 and 293.31 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 709.72 = 293.31 : x
  2. Step 2: Convert to fraction form
    514.30/709.72 = 293.31/x
  3. Step 3: Cross multiply
    514.30x = 709.72 × 293.31
  4. Step 4: Simplify right side
    514.30x = 208,167.97
  5. Step 5: Solve for x
    x = 208,167.97/514.30
  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.