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Finding the Fourth Proportional to 514.26, 709.68 and 287.14

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Solution

The fourth proportional to 514.26, 709.68 and 287.14 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.26 : 709.68 = 287.14 : x
  2. Step 2: Convert to fraction form
    514.26/709.68 = 287.14/x
  3. Step 3: Cross multiply
    514.26x = 709.68 × 287.14
  4. Step 4: Simplify right side
    514.26x = 203,777.52
  5. Step 5: Solve for x
    x = 203,777.52/514.26
  6. Step 6: Final answer
    x = 396.25

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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.