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Finding the Fourth Proportional to 514.71, 772.35 and 226.14

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Solution

The fourth proportional to 514.71, 772.35 and 226.14 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.71 : 772.35 = 226.14 : x
  2. Step 2: Convert to fraction form
    514.71/772.35 = 226.14/x
  3. Step 3: Cross multiply
    514.71x = 772.35 × 226.14
  4. Step 4: Simplify right side
    514.71x = 174,659.23
  5. Step 5: Solve for x
    x = 174,659.23/514.71
  6. Step 6: Final answer
    x = 339.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.