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Finding the Fourth Proportional to 956.14, 1,434.36 and 306.73

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Solution

The fourth proportional to 956.14, 1,434.36 and 306.73 is: 460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,434.36 = 306.73 : x
  2. Step 2: Convert to fraction form
    956.14/1,434.36 = 306.73/x
  3. Step 3: Cross multiply
    956.14x = 1,434.36 × 306.73
  4. Step 4: Simplify right side
    956.14x = 439,961.24
  5. Step 5: Solve for x
    x = 439,961.24/956.14
  6. Step 6: Final answer
    x = 460.14

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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.