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Finding the Fourth Proportional to 955.73, 1,433.78 and 306.34

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Solution

The fourth proportional to 955.73, 1,433.78 and 306.34 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.73 : 1,433.78 = 306.34 : x
  2. Step 2: Convert to fraction form
    955.73/1,433.78 = 306.34/x
  3. Step 3: Cross multiply
    955.73x = 1,433.78 × 306.34
  4. Step 4: Simplify right side
    955.73x = 439,224.17
  5. Step 5: Solve for x
    x = 439,224.17/955.73
  6. Step 6: Final answer
    x = 459.57

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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.