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Finding the Fourth Proportional to 514.71, 772.06 and 225.94

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Solution

The fourth proportional to 514.71, 772.06 and 225.94 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.71 : 772.06 = 225.94 : x
  2. Step 2: Convert to fraction form
    514.71/772.06 = 225.94/x
  3. Step 3: Cross multiply
    514.71x = 772.06 × 225.94
  4. Step 4: Simplify right side
    514.71x = 174,438.11
  5. Step 5: Solve for x
    x = 174,438.11/514.71
  6. Step 6: Final answer
    x = 338.91

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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.