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Finding the Fourth Proportional to 955.75, 1,433.82 and 306.94

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Solution

The fourth proportional to 955.75, 1,433.82 and 306.94 is: 460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.75 : 1,433.82 = 306.94 : x
  2. Step 2: Convert to fraction form
    955.75/1,433.82 = 306.94/x
  3. Step 3: Cross multiply
    955.75x = 1,433.82 × 306.94
  4. Step 4: Simplify right side
    955.75x = 440,092.93
  5. Step 5: Solve for x
    x = 440,092.93/955.75
  6. Step 6: Final answer
    x = 460.47

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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.