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Finding the Fourth Proportional to 625.24, 935.66 and 514.22

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Solution

The fourth proportional to 625.24, 935.66 and 514.22 is: 769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 935.66 = 514.22 : x
  2. Step 2: Convert to fraction form
    625.24/935.66 = 514.22/x
  3. Step 3: Cross multiply
    625.24x = 935.66 × 514.22
  4. Step 4: Simplify right side
    625.24x = 481,131.69
  5. Step 5: Solve for x
    x = 481,131.69/625.24
  6. Step 6: Final answer
    x = 769.52

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